Bilagebraic Structures And Smarandache Bialgebraic Structures

DOWNLOAD
Download Bilagebraic Structures And Smarandache Bialgebraic Structures PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Bilagebraic Structures And Smarandache Bialgebraic Structures book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Smarandache Special Definite Algebraic Structures
DOWNLOAD
Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2009-01-01
Smarandache Special Definite Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.
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.
Algebraic Structures Using Subsets
DOWNLOAD
Author : W. B. Vasantha Kandasamy, Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2012
Algebraic Structures Using Subsets 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 2012 with Algebra, Boolean categories.
"[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."--
N Algebraic Structures
DOWNLOAD
Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2005-01-01
N Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
In this book, for the first time we introduce the notions of N-groups, N-semigroups, N-loops and N-groupoids. We also define a mixed N-algebraic structure. The book is organized into six chapters. The first chapter gives the basic notions of S-semigroups, S-groupoids and S-loops thereby making the book self-contained. Chapter two introduces N-groups and their Smarandache analogues. In chapter three, N-loops and Smarandache N-loops are introduced and analyzed. Chapter four defines N-groupoids and S-N-groupoids. Since the N-semigroup structures are sandwiched between groups and groupoids, the study can be carried out without any difficulty. Mixed N-algebraic structures and S-mixed algebraic structures are given in chapter five. Some problems are suggested in chapter six. It is pertinent to mention that several exercises and problems (Some in the form of proof to the theorems are given in all the chapters.) A reader who attempts to solve them will certainly gain a sound knowledge about these concepts. We have given 50 problems for the reader to solve in chapter 6. The main aim of this book is to introduce new concepts and explain them with examples there by encouraging young mathematics to pursue research in this direction. Several theorems based on the definition can be easily proved with simple modification. Innovative readers can take up that job. Also these notions find their applications in automaton theory and coloring problems. The N-semigroups and N-automaton can be applied to construct finite machines, which can perform multitasks, so their capability would be much higher than the usual automaton of finite machines constructed. We have suggested a list of references for further reading.
Smarandache Fuzzy Algebra
DOWNLOAD
Author : W. B. Vasantha Kandasamy
language : en
Publisher: Bookman Publishing & Marketing
Release Date : 2003
Smarandache Fuzzy Algebra written by W. B. Vasantha Kandasamy and has been published by Bookman Publishing & Marketing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures
DOWNLOAD
Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
This book for the first time introduces neutrosophic groups, neutrosophic semigroups, neutrosophic loops and neutrosophic groupoids and their neutrosophic N-structures.The special feature of this book is that it tries to analyze when the general neutrosophic algebraic structures like loops, semigroups and groupoids satisfy some of the classical theorems for finite groups viz. Lagrange, Sylow, and Cauchy.This is mainly carried out to know more about these neutrosophic algebraic structures and their neutrosophic N-algebraic structures.
Smarandache Neutrosophic Algebraic Structures
DOWNLOAD
Author : W. B. Vasantha Kandasamy
language : en
Publisher: American Research Press
Release Date : 2014-05-14
Smarandache Neutrosophic Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by American Research Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Algebraic Structures Using Natural Class Of Intervals
DOWNLOAD
Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2011
Algebraic Structures Using Natural Class Of Intervals written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
The Algebraic Structure On The Neutrosophic Triplet Set
DOWNLOAD
Author : S. Suryoto
language : en
Publisher: Infinite Study
Release Date :
The Algebraic Structure On The Neutrosophic Triplet Set written by S. Suryoto 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 notion of the neutrosophic triplet was introduced by Smarandache and Ali. This notion is based on the fundamental law of neutrosophy that for an idea X, we have neutral of X denoted as neut(X) and anti of X denoted as anti(X). This paper studied a neutrosophic triplet set which is a collection of all triple of three elements that satisfy certain properties with some binary operation. Also given some interesting properties related to them. Further, in this paper investigated that from the neutrosophic triplet group can construct a classical group under multiplicative operation for ℤ𝑛 , for some specific n. These neutrosophic triplet groups are built using only modulo integer 2p, with p is an odd prime or Cayley table.
Special Algebraic Structures
DOWNLOAD
Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Special Algebraic Structures written by 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.
New notions are introduced in algebra in order to better study the congruences in number theory. For example, the
Basic Neutrosophic Algebraic Structures And Their Application To Fuzzy And Neutrosophic Models
DOWNLOAD
Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2004-01-01
Basic Neutrosophic Algebraic Structures And Their Application To Fuzzy And Neutrosophic Models written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
For the involvement of uncertainty of varying degrees, when the total of the membership degree exceeds one or less than one, then the newer mathematical paradigm shift, Fuzzy Theory proves appropriate.For the past two or three decades, Fuzzy Theory has become the potent tool to study and analyze uncertainty involved in all problems. But, many real world problems also abound with the concept of indeterminacy.In this book, the new, powerful tool of neutrosophy that deals with indeterminacy is utilized. Innovative neutrosophic models are described.The theory of neutrosophic graphs is introduced and applied to fuzzy and neutrosophic models.Neutrosophic Logic and Neutrosophic Set (generalizations of Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set respectively) became strong tools for applications.