Algebraic Structures Using Subsets

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Algebraic Structures Using Subsets

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599732165
Total Pages : 199 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures Using Subsets by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Algebraic Structures Using Subsets written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: "[The] study of algebraic structures using subsets [was] started by George Boole. After the invention of Boolean algebra, subsets are not used in building any algebraic structures. In this book we develop algebraic structures using subsets of a set or a group, or a semiring, or a ring, and get algebraic structures. Using group or semigroup, we only get subset semigroups. Using ring or semiring, we get only subset semirings. By this method, we get [an] infinite number of non-commutative semirings of finite order. We build subset semivector spaces, [and] describe and develop several interesting properties about them."--

An Introduction to Algebraic Structures

Author : Joseph Landin
Publisher : Courier Corporation
ISBN 13 : 0486150410
Total Pages : 275 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to Algebraic Structures by : Joseph Landin

Download or read book An Introduction to Algebraic Structures written by Joseph Landin and published by Courier Corporation. This book was released on 2012-08-29 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.

Subset Polynomial Semirings and Subset Matrix Semirings

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599732238
Total Pages : 269 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Subset Polynomial Semirings and Subset Matrix Semirings by : W. B. Vasantha Kandasamy

Download or read book Subset Polynomial Semirings and Subset Matrix Semirings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2013 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors introduce the new notions of subset polynomial semirings and subset matrix semirings. Solving subset polynomial equations is an interesting exercise. Open problems about the solution set of subset polynomials are proposed.

Algebraic Structures on MOD Planes

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733676
Total Pages : 215 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures on MOD Planes by : W. B. Vasantha Kandasamy

Download or read book Algebraic Structures on MOD Planes written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015-11-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study of MOD planes happens to a very recent one. In this book, systematically algebraic structures on MOD planes like, MOD semigroups, MOD groups and MOD rings of different types are defined and studied. Such study is innovative for a large four quadrant planes are made into a small MOD planes. Several distinct features enjoyed by these MOD planes are defined, developed and described.

Smarandache Special Definite Algebraic Structures

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599730855
Total Pages : 141 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Smarandache Special Definite Algebraic Structures by : W. B. Vasantha Kandasamy

Download or read book Smarandache Special Definite Algebraic Structures written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2009-01-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study these new Smarandache algebraic structures, which are defined as structures which have a proper subset which has a weak structure.A Smarandache Weak Structure on a set S means a structure on S that has a proper subset P with a weaker structure.By proper subset of a set S, we mean a subset P of S, different from the empty set, from the original set S, and from the idempotent elements if any.A Smarandache Strong Structure on a set S means a structure on S that has a proper subset P with a stronger structure.A Smarandache Strong-Weak Structure on a set S means a structure on S that has two proper subsets: P with a stronger structure, and Q with a weaker structure.

Subset Groupoids

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 159973222X
Total Pages : 151 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Subset Groupoids by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Subset Groupoids written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2013 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:

MOD Natural Neutrosophic Subset Semigroups

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599734850
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Natural Neutrosophic Subset Semigroups by : W. B. Vasantha Kandasamy

Download or read book MOD Natural Neutrosophic Subset Semigroups written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors introduce for the first time the MOD Natural Subset Semigroups. They enjoy very many special properties. They are only semigroups even under addition. This book provides several open problems to the semigroup theorists

MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599734907
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem by : W. B. Vasantha Kandasamy

Download or read book MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. We also do build MOD subset coefficient polynomial special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.

Non-Associative Algebraic Structures on MOD Planes

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733684
Total Pages : 209 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Non-Associative Algebraic Structures on MOD Planes by : W. B. Vasantha Kandasamy

Download or read book Non-Associative Algebraic Structures on MOD Planes written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time construct non-associative algebraic structures on the MOD planes. Using MOD planes we can construct infinite number of groupoids for a fixed m and all these MOD groupoids are of infinite cardinality. Special identities satisfied by these MOD groupoids build using the six types of MOD planes are studied. Further, the new concept of special pseudo zero of these groupoids are defined, described and developed. Also conditions for these MOD groupoids to have special elements like idempotent, special pseudo zero divisors and special pseudo nilpotent are obtained. Further non-associative MOD rings are constructed using MOD groupoids and commutative rings with unit. That is the MOD groupoid rings gives infinitely many non-associative ring. These rings are analysed for substructures and special elements. This study is new and innovative and several open problems are suggested.

Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories

Author : Marco Grandis
Publisher : World Scientific
ISBN 13 : 9811220336
Total Pages : 393 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories by : Marco Grandis

Download or read book Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories written by Marco Grandis and published by World Scientific. This book was released on 2020-08-12 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The presentation is modeled on the discursive style of the Bourbaki collective, and the coverage of topics is rich and varied. Grandis has provided a large selection of exercises and has sprinkled orienting comments throughout. For an undergraduate library where strong students seek an overview of a significant portion of mathematics, this would be an excellent acquisition. Summing up: Recommended.'CHOICESince the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces.More recently, these structured sets and their transformations have been assembled in higher structures, called categories.We want to give a structural overview of these topics, where the basic facts of the different theories are unified through the 'universal properties' that they satisfy, and their particularities stand out, perhaps even more.This book can be used as a textbook for undergraduate studies and for self-study. It can provide students of Mathematics with a unified perspective of subjects which are often kept apart. It is also addressed to students and researchers of disciplines having strong interactions with Mathematics, like Physics and Chemistry, Statistics, Computer Science, Engineering.

A Physicist's Introduction to Algebraic Structures

Author : Palash B. Pal
Publisher : Cambridge University Press
ISBN 13 : 1108661394
Total Pages : 718 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis A Physicist's Introduction to Algebraic Structures by : Palash B. Pal

Download or read book A Physicist's Introduction to Algebraic Structures written by Palash B. Pal and published by Cambridge University Press. This book was released on 2019-05-23 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: An algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the entire set. Many algebraic structures, such as vector space and group, come to everyday use of a modern physicist. Catering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra, measure space and Lebesgue integral. Important topics including finite and infinite dimensional vector spaces, finite groups and their representations, unitary groups and their representations and representations of the Lorentz group, homotopy and homology of topological spaces are covered extensively. Rich pedagogy includes various problems interspersed throughout the book for better understanding of concepts.

Subset Non Associative Semirings

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599732254
Total Pages : 209 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Subset Non Associative Semirings by : W. B. Vasantha Kandasamy

Download or read book Subset Non Associative Semirings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Subtlety in Relativity

Author : Sanjay Moreshwar Wagh
Publisher : Taylor & Francis
ISBN 13 : 1351238310
Total Pages : 440 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Subtlety in Relativity by : Sanjay Moreshwar Wagh

Download or read book Subtlety in Relativity written by Sanjay Moreshwar Wagh and published by Taylor & Francis. This book was released on 2017-12-22 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subtlety in Relativity is the only book that has been written after the author’s discovery of a new way in which wave phenomena occur—the emission origin of waves. This drastically changes most issues of the old debate over the world being either deterministic or probabilistic. The emission origin of waves is not incompatible with the ideas of quantum theory; rather, this new and novel way in which waves can be generated justifies the use of mathematical and probabilistic methods of quantum theory. However, the emission origin of waves shows that quantum theory is statistically incomplete in, precisely, Einstein’s sense. There exists, then, a certain, previously unexplored, conceptual framework underlying the ideas of quantum theory. Whether this is the theory that Einstein and others were looking for then, how this way of thinking is related to the ideas of relativity, and whether this is a relativistic theory in the usual sense of this word are questions this book answers. The book demonstrates how the Doppler effect with acceleration is essential to interpreting astronomical observations. It also offers a detailed and self-sufficient technical background of mathematical ideas of category theory. The book is divided into two parts. The first is less mathematical and more conceptual in its orientation. The second focuses on mathematical ideas needed to implement physical concepts. The book is a great reference for advanced undergraduate- and graduate-level students of physics and researchers in physics, astronomy, and cosmology, who will gain a deeper understanding of relativity from it.

Algebraic Structures

Author : George R. Kempf
Publisher : Springer Science & Business Media
ISBN 13 : 3322802787
Total Pages : 174 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Algebraic Structures by : George R. Kempf

Download or read book Algebraic Structures written by George R. Kempf and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: In algebra there are four basic structures: groups, rings, fields and modules. In this book the theory of these basic structures is presented and the laws of composition - the basic operations of algebra - are studied. Essentially, no previous knowledge is required, it is only assumed as background that the reader has learned some linear algebra over the real numbers.Dieses Lehrbuch, verfasst von einem anerkannten amerikanischen Mathematiker, ist eine unkonventionelle Einführung in die Algebra. Es gibt vier grundlegende Strukturen in der Algebra: Gruppen, Ringe, Körper und Moduln. Das Buch behandelt die Theorie dieser Strukturen und beschreibt die Verknüpfungsregeln, die grundlegenden Operationen der Algebra. Die Darstellung ist elementar: es werden nur Kenntnisse der Linearen Algebra vorausgesetzt, weitere Fachkenntnisse sind nicht erforderlich.

Subset Vertex Graphs for Social Networks

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4./5 ( download)

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Book Synopsis Subset Vertex Graphs for Social Networks by : W. B. Vasantha Kandasamy

Download or read book Subset Vertex Graphs for Social Networks written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social information networks concept was introduced or perceived by researchers Emile Durkheim and Ferdinand Tonnies as social groups as early as 1890’s . However Tonnies argued that social groups can exist as personal and direct social ties that either link individuals who share values and beliefs or impersonal, formal and instrumental social links but Durkheim gave a non individualistic explanation of social facts arguing that social phenomena arise when interacting individuals constitute a reality that can no longer be accounted for in terms of the properties of individual actors. Georg Simmel analyzed the network size on interaction and examined and likelihood of interaction in loosely knit networks rather than groups.

Special Type of Topological Spaces Using [0, n)

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733331
Total Pages : 230 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Special Type of Topological Spaces Using [0, n) by : W. B. Vasantha Kandasamy

Download or read book Special Type of Topological Spaces Using [0, n) written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015-02-15 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built.

The Encyclopedia of Neutrosophic Researchers, Vol. I

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599734680
Total Pages : 232 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis The Encyclopedia of Neutrosophic Researchers, Vol. I by : Florentin Smarandache

Download or read book The Encyclopedia of Neutrosophic Researchers, Vol. I written by Florentin Smarandache and published by Infinite Study. This book was released on 2016-11-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.