Subset Groupoids

Subset Groupoids PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 159973222X
Category : Mathematics
Languages : en
Pages : 151

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Subset Groupoids

Subset Groupoids PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 159973222X
Category : Mathematics
Languages : en
Pages : 151

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Subset Interval Groupoids

Subset Interval Groupoids PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732262
Category :
Languages : en
Pages : 248

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Theory of Abel Grassmann's Groupoids

Theory of Abel Grassmann's Groupoids PDF Author: Madad Khan, Florentin Smarandache, Saima Anis
Publisher: Infinite Study
ISBN: 1599733471
Category : Fuzzy sets
Languages : en
Pages : 210

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Book Description
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

Fuzzy Abel Grassmann Groupoids PDF Author: Madad Khan
Publisher: Infinite Study
ISBN: 1599733390
Category : Mathematics
Languages : en
Pages : 84

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Soft Neutrosophic Groupoids and Their Generalization

Soft Neutrosophic Groupoids and Their Generalization PDF Author: Mumtaz Ali
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 20

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Book Description
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

Topology and Groupoids

Topology and Groupoids PDF Author: Ronald Brown
Publisher: Booksurge Llc
ISBN: 9781419627224
Category : Mathematics
Languages : en
Pages : 512

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Book Description
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.

An Introduction to Groups, Groupoids and Their Representations

An Introduction to Groups, Groupoids and Their Representations PDF Author: Alberto Ibort
Publisher: CRC Press
ISBN: 1351869566
Category : Mathematics
Languages : en
Pages : 279

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Book Description
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

Non-Associative Algebraic Structures on MOD Planes PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733684
Category : Algebras, Linear
Languages : en
Pages : 212

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Book Description
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.

The Encyclopedia of Neutrosophic Researchers, 1st volume

The Encyclopedia of Neutrosophic Researchers, 1st volume PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599734680
Category : Mathematics
Languages : en
Pages : 232

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Book Description
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.

Foundations of the Theory of Groupoids and Groups

Foundations of the Theory of Groupoids and Groups PDF Author: Otakar Borůvka
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 226

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Book Description