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Smarandache Fresh And Clean Ideals Of Smarandache Bci Algebras
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Book Synopsis Smarandache Fresh and Clean Ideals of Smarandache BCI- algebras by : Young Bae Jun
Download or read book Smarandache Fresh and Clean Ideals of Smarandache BCI- algebras written by Young Bae Jun and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of Smarandache fresh and clean ideals is introduced, examples are given, and related properties are investigated. Relations between Q-Smarandache fresh ideals and Q-Smarandache clean ideals are given. Extension properties for Q-Smarandache fresh ideals and Q-Smarandache clean ideals are established.
Book Synopsis Smarandache pseudo-CI algebras by : L. C. Ciungu
Download or read book Smarandache pseudo-CI algebras written by L. C. Ciungu and published by Infinite Study. This book was released on 2022-01-01 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we define the notion of Smarandache pseudo-CI algebras and we investigate their properties. We also define and study the notions of Smarandache filters, pseudo-CI Smarandache homomorphisms and modal Smarandache operators on pseudo-CI algebras. The classes of Smarandache fantastic, implicative and positive implicative filters of Smarandache pseudo-CI algebras are defined and studied by extending some results regarding Smarandache fantastic, fresh and clean ideals in Smarandache BCI-algebras and Smarandache BCH-algebras to the case of Smarandache pseudo-CI algebras. The notion of Smarandache commutative pseudo-CI algebras is defined and a characterization theorem is given. It is proved that in the case of commutative Q-Smarandache pseudo-CI algebras the notions of Smarandache filters and fantastic filters coincide.
Book Synopsis Scientia Magna, vol. 2, no. 4, 2006 by : Zhang Wenpeng
Download or read book Scientia Magna, vol. 2, no. 4, 2006 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Smarandache inversion sequence, global attractivity of a recursive sequence, Smarandache fantastic ideals of Smarandache BCI-algebras, translational hull of superabundant semigroups with semilattice of idempotents, the Universality of some Smarandache loops of Bol-Moufang type, and other similar topics. Contributors: M. Karama, P. Zhang, W. Kandasamy, M. Khoshnevisan, K. Ilanthenral, M. Bencze, H. Ibstedt, W. Zhu, J. Earls, and many others.
Book Synopsis On the structure of general algebras and its applications by : Young Joo Seo
Download or read book On the structure of general algebras and its applications written by Young Joo Seo and published by Infinite Study. This book was released on with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we discuss some structural theory of a d-algebra which is a generalization of a BCK-algebra, and wedis uss analytic real algebras. We investigate several conditions for analytic real algebras to be d-algebras. Moreover, we introduce the notion of a Smarandacheness to BCI-algebras, and obtain several properties on Smarandache fuzzy BCI-algebras.
Download or read book Kyungpook Mathematical Journal written by and published by . This book was released on 2006 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Smarandache BE-Algebras by : Arsham Borumand Saeid
Download or read book Smarandache BE-Algebras written by Arsham Borumand Saeid and published by Infinite Study. This book was released on with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin-top:0in; mso-para-margin-right:0in; mso-para-margin-bottom:8.0pt; mso-para-margin-left:0in; line-height:107%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;} There are three types of Smarandache Algebraic Structures: 1. 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 Weak Structure on a set S means a structure on S that has a proper subset P with a weaker 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. By proper subset of a set S, one understands a subset P of S, different from the empty set, from the original set S, and from the idempotent elements if any. Having two structures {u} and {v} defined by the same operations, one says that structure {u} is stronger than structure {v}, i.e. {u} > {v}, if the operations of {u} satisfy more axioms than the operations of {v}. Each one of the first two structure types is then generalized from a 2-level (the sets P ⊂ S and their corresponding strong structure {w1}>{w0}, respectively their weak structure {w1}<{w0}) to an n-level (the sets Pn-1 ⊂ Pn-2 ⊂ … ⊂ P2 ⊂ P1 ⊂ S and their corresponding strong structure {wn-1} > {wn-2} > … > {w2} > {w1} > {w0}, or respectively their weak structure {wn-1} < {wn-2} < … < {w2} < {w1} < {w0}). Similarly for the third structure type, whose generalization is a combination of the previous two structures at the n-level. A Smarandache Weak BE-Algebra X is a BE-algebra in which there exists a proper subset Q such that 1 Q, |Q| ≥ 2, and Q is a CI-algebra. And a Smarandache Strong CI-Algebra X is a CI-algebra X in which there exists a proper subset Q such that 1 Q, |Q| ≥ 2, and Q is a BE-algebra. The book elaborates a recollection of the BE/CI-algebras, then introduces these last two particular structures and studies their properties.
Book Synopsis Scientiae Mathematicae Japonicae by :
Download or read book Scientiae Mathematicae Japonicae written by and published by . This book was released on 2001 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Q-Smarandache Fuzzy Implicative Ideal of QSmarandache BH-Algebra by : Husein Hadi Abbass
Download or read book Q-Smarandache Fuzzy Implicative Ideal of QSmarandache BH-Algebra written by Husein Hadi Abbass and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, The notions of Q-Smarandache fuzzy implicative ideal and Q- Smarandache fuzzy sub implicative ideal of a Q-Smarandache BH-Algebra introduced, examples are given, and related properties investigated the relationships among these notions and other types of Q-Smarandache fuzzy ideal of a Q-Smarandache BH-Algebra are studied.
Book Synopsis Smarandache n-Structure on CI-Algebras by : Arsham Borumand Saeid
Download or read book Smarandache n-Structure on CI-Algebras written by Arsham Borumand Saeid and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the notions of CI-algebras, Smarandache CI-algebra, Q-Smarandache filters and Q-Smarandache ideals are introduced. Finally, we introduced the concepts of Smarandache BE-algebra, Smarandache dual BCK-algebra and Smarandache n-structure on CI-algebra.
Book Synopsis Smarandache Fuzzy Algebra by : W. B. Vasantha Kandasamy
Download or read book Smarandache Fuzzy Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the Smarandache Fuzzy Algebra, which, like its predecessor Fuzzy Algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white.In any human field, a Smarandache n-structure on a set S means a weak structure {w(0)} on S such that there exists a chain of proper subsets P(n-1) in P(n-2) in?in P(2) in P(1) in S whose corresponding structures verify the chain {w(n-1)} includes {w(n-2)} includes? includes {w(2)} includes {w(1)} includes {w(0)}, where 'includes' signifies 'strictly stronger' (i.e., structure satisfying more axioms).This book is referring to a Smarandache 2-algebraic structure (two levels only of structures in algebra) on a set S, i.e. a weak structure {w(0)} on S such that there exists a proper subset P of S, which is embedded with a stronger structure {w(1)}. Properties of Smarandache fuzzy semigroups, groupoids, loops, bigroupoids, biloops, non-associative rings, birings, vector spaces, semirings, semivector spaces, non-associative semirings, bisemirings, near-rings, non-associative near-ring, and binear-rings are presented in the second part of this book together with examples, solved and unsolved problems, and theorems. Also, applications of Smarandache groupoids, near-rings, and semirings in automaton theory, in error correcting codes, and in the construction of S-sub-biautomaton can be found in the last chapter.
Book Synopsis Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras by : G. Muhiuddin
Download or read book Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras written by G. Muhiuddin and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present paper, we discuss the Neutrosophic quadruple q-ideals and (regular) neutrosophic quadruple ideals and investigate their related properties.
Book Synopsis Neutrosophic Quadruple BCK/BCI-Algebras by : Young Bae Jun
Download or read book Neutrosophic Quadruple BCK/BCI-Algebras written by Young Bae Jun and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed.
Book Synopsis Smarandache Near-Rings by : W. B. Vasantha Kandasamy
Download or read book Smarandache Near-Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2002 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S. These types of structures occur in our everyday life, that's why we study them in this book. Thus, as a particular case: A Near-Ring is a non-empty set N together with two binary operations '+' and '.' such that (N, +) is a group (not necessarily abelian), (N, .) is a semigroup. For all a, b, c in N we have (a + b) . c = a . c + b . c. A Near-Field is a non-empty set P together with two binary operations '+' and '.' such that (P, +) is a group (not necessarily abelian), (P \ {0}, .) is a group. For all a, b, c I P we have (a + b) . c = a . c + b . c. A Smarandache Near-ring is a near-ring N which has a proper subset P in N, where P is a near-field (with respect to the same binary operations on N).
Book Synopsis Smarandache Rings by : W. B. Vasantha Kandasamy
Download or read book Smarandache Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2002 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B which is embedded with a stronger structure S.By proper subset one understands a set included in A, different from the empty set, from the unit element if any, and from A.These types of structures occur in our every day?s life, that?s why we study them in this book.Thus, as two particular cases:A Smarandache ring of level I (S-ring I) is a ring R that contains a proper subset that is a field with respect to the operations induced. A Smarandache ring of level II (S-ring II) is a ring R that contains a proper subset A that verifies: ?A is an additive abelian group; ?A is a semigroup under multiplication;?For a, b I A, a?b = 0 if and only if a = 0 or b = 0.
Book Synopsis Fantastic Four Unthinkable by : Mark Millar
Download or read book Fantastic Four Unthinkable written by Mark Millar and published by . This book was released on 2005-12 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Doctor Doom, the greatest villain in the Marvel Universe, and persistent nemesis of the Fantastic Four rises again. This time something about the dark Lord of Latveria is different. His strategy strikes at the heart of the first family of super heroes, forcing Reed Richards to consider a shocking course of action.
Book Synopsis Noble Experiments by : Norman Anthony
Download or read book Noble Experiments written by Norman Anthony and published by . This book was released on 1930 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Italian Gothic and Fantastic by : Francesca Billiani
Download or read book The Italian Gothic and Fantastic written by Francesca Billiani and published by Associated University Presse. This book was released on 2007 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meanwhile, by assimilating the Other into our own modes of representation of reality and imagination, twentieth-century female writers of the fantastic show how alternative identities can be shaped and social constituencies can be challenged."--BOOK JACKET.
