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Author : James Crawford Abbott
Publisher :
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.3/5 (91 download)
Download or read book Sets, Lattices, and Boolean Algebras written by James Crawford Abbott and published by . This book was released on 1969 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marcel Rueff
Publisher : Elsevier Publishing Company
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.F/5 ( download)
Download or read book Sets and Boolean Algebra written by Marcel Rueff and published by Elsevier Publishing Company. This book was released on 1970 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Khanna, Vijay K.
Publisher : Vikas Publishing House
ISBN 13 : 8125916539
Total Pages : 166 pages
Book Rating : 4.1/5 (259 download)
Download or read book Lattices & Boolean Algebras: First Concepts written by Khanna, Vijay K. and published by Vikas Publishing House. This book was released on 2004-12 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily designed for senior UG students wishing to pursue a course in Lattices/ Boolean Algebra, and those desirous of using lattice-theoretic concepts in their higher studies. Theoretical discussions amply illustrated by numerous examples and worked-out problems. Hints and solutions to select exercises added to the text as further help.
Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 0387789014
Total Pages : 307 pages
Book Rating : 4.3/5 (877 download)
Download or read book Lattices and Ordered Sets written by Steven Roman and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be a thorough introduction to the subject of order and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. This is a book on pure mathematics: I do not discuss the applications of lattice theory to physics, computer science or other disciplines. Lattice theory began in the early 1890s, when Richard Dedekind wanted to know the answer to the following question: Given three subgroups EF , and G of an abelian group K, what is the largest number of distinct subgroups that can be formed using these subgroups and the operations of intersection and sum (join), as in E?FßÐE?FÑ?GßE?ÐF?GÑ and so on? In lattice-theoretic terms, this is the number of elements in the relatively free modular lattice on three generators. Dedekind [15] answered this question (the answer is #)) and wrote two papers on the subject of lattice theory, but then the subject lay relatively dormant until Garrett Birkhoff, Oystein Ore and others picked it up in the 1930s. Since then, many noted mathematicians have contributed to the subject, including Garrett Birkhoff, Richard Dedekind, Israel Gelfand, George Grätzer, Aleksandr Kurosh, Anatoly Malcev, Oystein Ore, Gian-Carlo Rota, Alfred Tarski and Johnny von Neumann.
Author : Ranganathan Padmanabhan
Publisher : World Scientific
ISBN 13 : 9812834559
Total Pages : 229 pages
Book Rating : 4.8/5 (128 download)
Download or read book Axioms for Lattices and Boolean Algebras written by Ranganathan Padmanabhan and published by World Scientific. This book was released on 2008 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of OC join and meetOCO or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom systems.A new topic in this book is the characterization of Boolean algebras within the class of all uniquely complemented lattices. Here, the celebrated problem of E V Huntington is addressed, which OCo according to G Gratzer, a leading expert in modern lattice theory OCo is one of the two problems that shaped a century of research in lattice theory. Among other things, it is shown that there are infinitely many non-modular lattice identities that force a uniquely complemented lattice to be Boolean, thus providing several new axiom systems for Boolean algebras within the class of all uniquely complemented lattices. Finally, a few related lines of research are sketched, in the form of appendices, including one by Dr Willian McCune of the University of New Mexico, on applications of modern theorem-proving to the equational theory of lattices.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895887
Total Pages : 262 pages
Book Rating : 4.8/5 (958 download)
Download or read book Ordered Sets and Lattices II written by and published by American Mathematical Soc.. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
Author : Thomas Judson
Publisher : Orthogonal Publishing L3c
ISBN 13 : 9781944325190
Total Pages : 0 pages
Book Rating : 4.3/5 (251 download)
Download or read book Abstract Algebra written by Thomas Judson and published by Orthogonal Publishing L3c. This book was released on 2023-08-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.
Author : Alan Solomon
Publisher : Research & Education Assoc.
ISBN 13 : 9780738671673
Total Pages : 116 pages
Book Rating : 4.6/5 (716 download)
Download or read book Boolean Algebra Essentials written by Alan Solomon and published by Research & Education Assoc.. This book was released on 2013-01-01 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Boolean Algebra includes set theory, sentential calculus, fundamental ideas of Boolean algebras, lattices, rings and Boolean algebras, the structure of a Boolean algebra, and Boolean algebra in communication systems.
Author : Khanna, Vijay K.
Publisher : Vikas Publishing House
ISBN 13 : 9788125916536
Total Pages : 172 pages
Book Rating : 4.9/5 (165 download)
Download or read book Lattices & Boolean Algebras: First Concepts written by Khanna, Vijay K. and published by Vikas Publishing House. This book was released on 2004-12 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily designed for senior UG students wishing to pursue a course in Lattices/ Boolean Algebra, and those desirous of using lattice-theoretic concepts in their higher studies. Theoretical discussions amply illustrated by numerous examples and worked-out problems. Hints and solutions to select exercises added to the text as further help.
Author :
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (69 download)
Download or read book Sets, Lattices, and Boolean Algebra written by and published by . This book was released on 1969 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergiu Rudeanu
Publisher : Springer Science & Business Media
ISBN 13 : 144710241X
Total Pages : 442 pages
Book Rating : 4.4/5 (471 download)
Download or read book Lattice Functions and Equations written by Sergiu Rudeanu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the chief aims of this self-contained monograph is to survey recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices. Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions. Special attention is also paid to consistency conditions and reproductive general solutions. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others. Lattice Functions and Equations updates and extends the author's previous monograph - Boolean Functions and Equations.
Author : T.S. Blyth
Publisher : Springer Science & Business Media
ISBN 13 : 1852339055
Total Pages : 311 pages
Book Rating : 4.8/5 (523 download)
Download or read book Lattices and Ordered Algebraic Structures written by T.S. Blyth and published by Springer Science & Business Media. This book was released on 2005-04-18 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS
Author : Vi_acheslav Nikolaevich Sali_
Publisher : American Mathematical Soc.
ISBN 13 : 9780821898178
Total Pages : 132 pages
Book Rating : 4.8/5 (981 download)
Download or read book Lattices with Unique Complements written by Vi_acheslav Nikolaevich Sali_ and published by American Mathematical Soc.. This book was released on 1988-12-31 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The class of uniquely complemented lattices properly contains all Boolean lattices. However, no explicit example of a non-Boolean lattice of this class has been found. In addition, the question of whether this class contains any complete non-Boolean lattices remains unanswered. This book focuses on these classical problems of lattice theory and the various attempts to solve them. Requiring no specialized knowledge, the book is directed at researchers and students interested in general algebra and mathematical logic.
Author : Ralph N. McKenzie
Publisher : American Mathematical Society
ISBN 13 : 1470442957
Total Pages : 386 pages
Book Rating : 4.4/5 (74 download)
Download or read book Algebras, Lattices, Varieties written by Ralph N. McKenzie and published by American Mathematical Society. This book was released on 2018-07-09 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the foundations of a general theory of algebras. Often called “universal algebra”, this theory provides a common framework for all algebraic systems, including groups, rings, modules, fields, and lattices. Each chapter is replete with useful illustrations and exercises that solidify the reader's understanding. The book begins by developing the main concepts and working tools of algebras and lattices, and continues with examples of classical algebraic systems like groups, semigroups, monoids, and categories. The essence of the book lies in Chapter 4, which provides not only basic concepts and results of general algebra, but also the perspectives and intuitions shared by practitioners of the field. The book finishes with a study of possible uniqueness of factorizations of an algebra into a direct product of directly indecomposable algebras. There is enough material in this text for a two semester course sequence, but a one semester course could also focus primarily on Chapter 4, with additional topics selected from throughout the text.
Author : B. A. Davey
Publisher : Cambridge University Press
ISBN 13 : 1107717523
Total Pages : 316 pages
Book Rating : 4.1/5 (77 download)
Download or read book Introduction to Lattices and Order written by B. A. Davey and published by Cambridge University Press. This book was released on 2002-04-18 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.
Author : Philip Dwinger
Publisher : Physica
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to Boolean-Algebras written by Philip Dwinger and published by Physica. This book was released on 1971 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Raymond Balbes
Publisher : Ray Balbes
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)
Download or read book Distributive Lattices written by Raymond Balbes and published by Ray Balbes. This book was released on 1975 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
