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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Book Description

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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Book Description


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.

Interval Groupoids

Interval Groupoids PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599731258
Category : Mathematics
Languages : en
Pages : 242

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Book Description
This book defines new classes of groupoids, like matrix groupoid, polynomial groupoid, interval groupoid, and polynomial groupoid.An interesting feature of this book is that introduces 77 new definitions substantiated and described by 426 examples and 150 theorems.

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.

Interval Groupoids

Interval Groupoids PDF Author: W. B. Vasantha Kandasamy
Publisher:
ISBN: 9781461913672
Category : MATHEMATICS
Languages : en
Pages : 242

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Book Description


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.

Interval Algebraic Bistructures

Interval Algebraic Bistructures PDF Author: W.B. Vasantha Kandansamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731401
Category :
Languages : en
Pages : 210

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Book Description


Groupoids of Type I and II Using [0, n)

Groupoids of Type I and II Using [0, n) PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732734
Category : Mathematics
Languages : en
Pages : 180

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Book Description
Study of algebraic structures built using [0, n) looks to be one of interesting and innovative research. Here we define two types of groupoids using [0, n), both of them are of infinite order. It is an open conjecture to find whether this new class of groupoids satisfy any of the special identities like Moufang identity or Bol identity and so on.

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.

Hyperbolic Groupoids and Duality

Hyperbolic Groupoids and Duality PDF Author: Volodymyr Nekrashevych
Publisher: American Mathematical Soc.
ISBN: 1470415445
Category : Mathematics
Languages : en
Pages : 120

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Book Description
The author introduces a notion of hyperbolic groupoids, generalizing the notion of a Gromov hyperbolic group. Examples of hyperbolic groupoids include actions of Gromov hyperbolic groups on their boundaries, pseudogroups generated by expanding self-coverings, natural pseudogroups acting on leaves of stable (or unstable) foliation of an Anosov diffeomorphism, etc. The author describes a duality theory for hyperbolic groupoids. He shows that for every hyperbolic groupoid G there is a naturally defined dual groupoid G⊤ acting on the Gromov boundary of a Cayley graph of G. The groupoid G⊤ is also hyperbolic and such that (G⊤)⊤ is equivalent to G. Several classes of examples of hyperbolic groupoids and their applications are discussed.