The Smarandache Vertices Of The Comaximal Graph Of A Commutative Ring
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The Smarandache Vertices Of The Comaximal Graph Of A Commutative Ring
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Author : ELHAM MEHDI-NEZHAD
language : en
Publisher: Infinite Study
Release Date :
The Smarandache Vertices Of The Comaximal Graph Of A Commutative Ring written by ELHAM MEHDI-NEZHAD and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The concept of a Smarandache vertex (or S-vertex for short) in a (simple) graph (Definition 2.5) was first introduced by the second author [8] in order to study the Smarandache zero-divisors of a commutative ring which was introduced by Vasantha Kandasamy in [10] for semigroups and rings (not necessarily commutative).
Some Results On The Comaximal Ideal Graph Of A Commutative Ring
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Author : Subramanian Visweswaran
language : en
Publisher: Infinite Study
Release Date :
Some Results On The Comaximal Ideal Graph Of A Commutative Ring written by Subramanian Visweswaran and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The rings considered in this article are commutative with identity which admit at least two maximal ideals. Let R be a ring such that R admits at least two maximal ideals.
Neutrosophic Invertible Graphs Of Neutrosophic Rings
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Author : T. Chalapathi
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Invertible Graphs Of Neutrosophic Rings written by T. Chalapathi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
We begin by considering some properties of the self and mutual additive inverse elements of finite Neutrosophic rings. We then proceed to determine several properties of Neutrosophic invertible graphs and we obtain an interrelation between classical rings, Neutrosophic rings and their Neutrosophic invertible graphs.
Semigroups As Graphs
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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
language : en
Publisher: Infinite Study
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Semigroups As Graphs written by W. B. Vasantha Kandasamy, Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Basic Abstract Algebra
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Author : P. B. Bhattacharya
language : en
Publisher: Cambridge University Press
Release Date : 1994-11-25
Basic Abstract Algebra written by P. B. Bhattacharya and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-25 with Mathematics categories.
This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.
Commutative Algebra
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Author : Marco Fontana
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-29
Commutative Algebra written by Marco Fontana and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-29 with Mathematics categories.
Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.
Smarandache Geometries Map Theories With Applications I English And Chinese
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date : 2007
Smarandache Geometries Map Theories With Applications I English And Chinese written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
800x600 Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 /* 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:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} Smarandache Geometries as generalizations of Finsler, Riemannian, Weyl, and Kahler Geometries. A Smarandache geometry (SG) is a geometry which has at least one smarandachely denied axiom (1969). An axiom is said smarandachely denied (S-denied) if in the same space the axiom behaves differently (i.e., validated and invalided; or only invalidated but in at least two distinct ways). Thus, as a particular case, Euclidean, Lobachevsky-Bolyai-Gauss, and Riemannian geometries may be united altogether, in the same space, by some SGs. These last geometries can be partially Euclidean and partially non-Euclidean. The novelty of the SG is the fact that they introduce for the first time the degree of negation in geometry, similarly to the degree of falsehood in fuzzy or neutrosophic logic. For example an axiom can be denied in percentage of 30 Also SG are defined on multispaces, i.e. unions of Euclidean and non-Euclidean subspaces, or unions of distinct non-Euclidean spaces. As an example of S-denying, a proposition , which is the conjunction of a set i of propositions, can be invalidated in many ways if it is minimally unsatisfiable, that is, such that the conjunction of any proper subset of the i is satisfied in a structure, but itself is not. Here it is an example of what it means for an axiom to be invalidated in multiple ways [2] : As a particular axiom let's take Euclid's Fifth Postulate. In Euclidean or parabolic geometry a line has one parallel only through a given point. In Lobacevskian or hyperbolic geometry a line has at least two parallels through a given point. In Riemannian or elliptic geometry a line has no parallel through a given point. Whereas in Smarandache geometries there are lines which have no parallels through a given point and other lines which have one or more parallels through a given point (the fifth postulate is invalidated in many ways). Therefore, the Euclid's Fifth Postulate (which asserts that there is only one parallel passing through an exterior point to a given line) can be invalidated in many ways, i.e. Smarandachely denied, as follows: - first invalidation: there is no parallel passing through an exterior point to a given line; - second invalidation: there is a finite number of parallels passing through an exterior point to a given line; - third invalidation: there are infinitely many parallels passing through an exterior point to a given line.
Hilbert Spaces Of Analytic Functions
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Author : Javad Mashreghi
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Hilbert Spaces Of Analytic Functions written by Javad Mashreghi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Hilbert spaces of analytic functions are currently a very active field of complex analysis. The Hardy space is the most senior member of this family. However, other classes of analytic functions such as the classical Bergman space, the Dirichlet space, the de Branges-Rovnyak spaces, and various spaces of entire functions, have been extensively studied. This provides an account of the latest developments in the field of analytic function theory.
Automorphisms Of Finite Groups
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Author : Inder Bir Singh Passi
language : en
Publisher: Springer
Release Date : 2019-01-12
Automorphisms Of Finite Groups written by Inder Bir Singh Passi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-12 with Mathematics categories.
The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.
Rings Of Analytic Functions
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Author : John Wermer
language : en
Publisher:
Release Date : 1957
Rings Of Analytic Functions written by John Wermer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Analytic functions categories.