Interval Groupoids
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Interval Groupoids
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2010
Interval Groupoids 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 2010 with Mathematics categories.
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.
Subset Interval Groupoids
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :
Subset Interval Groupoids 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 with categories.
Groupoids Of Type I And Ii Using 0 N
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2014
Groupoids Of Type I And Ii Using 0 N 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 2014 with Mathematics categories.
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.
Theory Of Abel Grassmann S Groupoids
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Author : Madad Khan, Florentin Smarandache, Saima Anis
language : en
Publisher: Infinite Study
Release Date : 2015-04-01
Theory Of Abel Grassmann S Groupoids written by Madad Khan, Florentin Smarandache, Saima Anis and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-01 with Fuzzy sets categories.
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 Algebraic Bistructures
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Author : W.B. Vasantha Kandansamy, Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Interval Algebraic Bistructures written by W.B. Vasantha Kandansamy, 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.
Interval Groupoids
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Author : W. B. Vasantha Kandasamy
language : en
Publisher:
Release Date : 2014-05-14
Interval Groupoids written by W. B. Vasantha Kandasamy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Ivi Octahedron Sets And Their Application To Groupoids
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Author : J. H. Kim
language : en
Publisher: Infinite Study
Release Date :
Ivi Octahedron Sets And Their Application To Groupoids written by J. H. Kim 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.
In this paper, we introduce the concepts of (internal, external) IVI-octahedron sets, and study some of their properties and give some examples.
Non Associative Algebraic Structures On Mod Planes
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015
Non Associative Algebraic Structures On Mod Planes 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 2015 with Algebras, Linear categories.
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.
Characterizing Groupoid C Algebras Of Non Hausdorff Tale Groupoids
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Author : Ruy Exel
language : en
Publisher: Springer Nature
Release Date : 2022-10-18
Characterizing Groupoid C Algebras Of Non Hausdorff Tale Groupoids written by Ruy Exel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-18 with Mathematics categories.
This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces. Kumjian, and later Renault, showed that Gelfand's result can be extended to include non-commutative C*-algebras containing a commutative C*-algebra. In their setting, the C*-algebras in question may be described as the completion of convolution algebras of functions on twisted Hausdorff groupoids with respect to a certain norm. However, there are many natural settings in which the Kumjian–Renault theory does not apply, in part because the groupoids which arise are not Hausdorff. In fact, non-Hausdorff groupoids have been a source of surprising counterexamples and technical difficulties for decades. Including numerous illustrative examples, this book extends the Kumjian–Renault theory to a much broader class of C*-algebras. This work will be of interest to researchers and graduate students in the area of groupoid C*-algebras, the interface between dynamical systems and C*-algebras, and related fields.
Hyperbolic Groupoids And Duality
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Author : Volodymyr Nekrashevych
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-08-21
Hyperbolic Groupoids And Duality written by Volodymyr Nekrashevych 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 2015-08-21 with Mathematics categories.
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.