Subset Groupoids

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Subset Groupoids

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 151 pages
File Size : 42,6 Mb
Release : 2013
Category : Mathematics
ISBN : 9781599732220

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Subset Groupoids by W. B. Vasantha Kandasamy, Florentin Smarandache Pdf

Subset Interval Groupoids

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 248 pages
File Size : 46,5 Mb
Release : 2024-06-14
Category : Electronic
ISBN : 9781599732268

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Subset Interval Groupoids by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

Theory of Abel Grassmann's Groupoids

Author : Madad Khan, Florentin Smarandache, Saima Anis
Publisher : Infinite Study
Page : 210 pages
File Size : 48,9 Mb
Release : 2015-04-01
Category : Electronic
ISBN : 9781599733470

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Theory of Abel Grassmann's Groupoids by Madad Khan, Florentin Smarandache, Saima Anis Pdf

We extend now for the first time the AG-groupoid to the Neutrosophic AG-groupoid. A neutrosophic AG-groupoid is a neutrosophic algebraic structure that lies between a neutrosophic groupoid and a neutrosophic commutative semigroup.

Fuzzy Abel Grassmann Groupoids

Author : Madad Khan,Florentin Smarandache,Tariq Aziz
Publisher : Infinite Study
Page : 84 pages
File Size : 50,5 Mb
Release : 2015-01-15
Category : Fuzzy sets
ISBN : 9781599733395

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Fuzzy Abel Grassmann Groupoids by Madad Khan,Florentin Smarandache,Tariq Aziz Pdf

Soft Neutrosophic Groupoids and Their Generalization

Author : Mumtaz Ali,Florentin Smarandache, Muhammad Shabir
Publisher : Infinite Study
Page : 20 pages
File Size : 53,5 Mb
Release : 2024-06-14
Category : Electronic
ISBN : 8210379456XXX

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Soft Neutrosophic Groupoids and Their Generalization by Mumtaz Ali,Florentin Smarandache, Muhammad Shabir Pdf

Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic groupoid and their generalization with the discuissionf of some of their characteristics

An Introduction to Groups, Groupoids and Their Representations

Author : Alberto Ibort,Miguel A. Rodriguez
Publisher : CRC Press
Page : 242 pages
File Size : 52,5 Mb
Release : 2019-10-28
Category : Mathematics
ISBN : 9781351869560

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An Introduction to Groups, Groupoids and Their Representations by Alberto Ibort,Miguel A. Rodriguez Pdf

This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups. Using a categorical language, developed from simple examples, the theory of finite groupoids is shown to knit neatly with that of groups and their structure as well as that of their representations is described. The book comprises numerous examples and applications, including well-known games and puzzles, databases and physics applications. Key concepts have been presented using only basic notions so that it can be used both by students and researchers interested in the subject. Category theory is the natural language that is being used to develop the theory of groupoids. However, categorical presentations of mathematical subjects tend to become highly abstract very fast and out of reach of many potential users. To avoid this, foundations of the theory, starting with simple examples, have been developed and used to study the structure of finite groups and groupoids. The appropriate language and notions from category theory have been developed for students of mathematics and theoretical physics. The book presents the theory on the same level as the ordinary and elementary theories of finite groups and their representations, and provides a unified picture of the same. The structure of the algebra of finite groupoids is analysed, along with the classical theory of characters of their representations. Unnecessary complications in the formal presentation of the subject are avoided. The book offers an introduction to the language of category theory in the concrete setting of finite sets. It also shows how this perspective provides a common ground for various problems and applications, ranging from combinatorics, the topology of graphs, structure of databases and quantum physics.

Non-Associative Algebraic Structures on MOD Planes

Author : W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache
Publisher : Infinite Study
Page : 209 pages
File Size : 47,6 Mb
Release : 2015
Category : Algebras, Linear
ISBN : 9781599733685

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Non-Associative Algebraic Structures on MOD Planes by W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache Pdf

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.

Neutrosophic Sets and Systems, vol. 6/2014

Author : F. Yuhua,P. K. Maji,A. A. Salama ,S. Pramanik,F. Smarandache, L. Vladareanu ,S. Broumi,A. Mukherjee,M. Shabir
Publisher : Infinite Study
Page : 86 pages
File Size : 52,5 Mb
Release : 2024-06-14
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 6/2014 by F. Yuhua,P. K. Maji,A. A. Salama ,S. Pramanik,F. Smarandache, L. Vladareanu ,S. Broumi,A. Mukherjee,M. Shabir Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

The Encyclopedia of Neutrosophic Researchers, Vol. I

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 232 pages
File Size : 42,8 Mb
Release : 2016-11-12
Category : Mathematics
ISBN : 9781599734682

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The Encyclopedia of Neutrosophic Researchers, Vol. I by Florentin Smarandache Pdf

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.

Topology and Groupoids

Author : Ronald Brown
Publisher : Booksurge Llc
Page : 512 pages
File Size : 50,8 Mb
Release : 2006
Category : Mathematics
ISBN : 1419627228

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Topology and Groupoids by Ronald Brown Pdf

Annotation. The book is intended as a text for a two-semester course in topology and algebraic topology at the advanced undergraduate orbeginning graduate level. There are over 500 exercises, 114 figures, numerous diagrams. The general direction of the book is towardhomotopy theory with a geometric point of view. This book would providea more than adequate background for a standard algebraic topology coursethat begins with homology theory. For more information seewww.bangor.ac.uk/r.brown/topgpds.htmlThis version dated April 19, 2006, has a number of corrections made.

Groupoids and Smarandache Groupoids

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 115 pages
File Size : 55,8 Mb
Release : 2002-12-01
Category : Mathematics
ISBN : 9781931233613

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Groupoids and Smarandache Groupoids by W. B. Vasantha Kandasamy Pdf

Definition: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 Smarandache Groupoid is a groupoid G which has a proper subset S in G such that S under the operation of G is a semigroup.

Foundations of the Theory of Groupoids and Groups

Author : Otakar Borůvka
Publisher : John Wiley & Sons
Page : 226 pages
File Size : 50,7 Mb
Release : 1976
Category : Mathematics
ISBN : STANFORD:36105031603264

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Foundations of the Theory of Groupoids and Groups by Otakar Borůvka Pdf

Amenable Groupoids

Author : C. Anantharaman-Delaroche,Jean Renault
Publisher : Unknown
Page : 200 pages
File Size : 52,5 Mb
Release : 2000
Category : C*-algebras
ISBN : UVA:X006111404

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Amenable Groupoids by C. Anantharaman-Delaroche,Jean Renault Pdf

Smarandache Fuzzy Algebra

Author : W. B. Vasantha Kandasamy
Publisher : Bookman Publishing & Marketing
Page : 462 pages
File Size : 51,8 Mb
Release : 2003
Category : Mathematics
ISBN : UOM:39015058222202

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Smarandache Fuzzy Algebra by W. B. Vasantha Kandasamy Pdf

The American Mathematical Monthly

Author : Anonim
Publisher : Unknown
Page : 842 pages
File Size : 52,7 Mb
Release : 1966
Category : Mathematicians
ISBN : UCAL:B3632518

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The American Mathematical Monthly by Anonim Pdf

Includes section "Recent publications."