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Author: Francis J. Pastijn
Publisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 214
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Book Description
Author: Francis J. Pastijn
Publisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 214
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Book Description
Author: K. S. S. Nambooripad
Publisher: American Mathematical Soc.
ISBN: 0821822241
Category : Mathematics
Languages : en
Pages : 132
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Book Description
The structure of regular semigroups is studied in full generality. The principal tool used in this is the concept of a (regular) biordered set which abstractly characterizes the set of idempotents of a regular semigroup. The category of inductive groupoids is then defined as the category whose objects are pairs consisting of an ordered groupoid and an order-preserving functor of the chain groupoid of a biordered set whose vertex map is a bijection, and whose morphisms are certain commutative diagrams in the category of ordered groupoids. It is shown by an explicit construction that every regular semigroup can be constructed from an inductive groupoid and that the category of inductive groupoids is equivalent to the category of all regular semigroups. This construction is then applied to obtain the structure of all fundamental regular semigroups and all idempotent generated regular semigroups. The paper ends with a study of biordered sets of some important classes of regular semigroups.
Author: Pierre A. Grillet
Publisher: Routledge
ISBN: 1351417029
Category : Mathematics
Languages : en
Pages : 417
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Book Description
This work offers concise coverage of the structure theory of semigroups. It examines constructions and descriptions of semigroups and emphasizes finite, commutative, regular and inverse semigroups. Many structure theorems on regular and commutative semigroups are introduced.;College or university bookstores may order five or more copies at a special student price which is available upon request from Marcel Dekker, Inc.
Author: Jorge Almeida
Publisher: World Scientific
ISBN: 9814548251
Category :
Languages : en
Pages : 322
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Book Description
The conference was a rare occasion for different schools and perspectives to meet in a single event, bringing together researchers interested in semigroups, automata and languages. The proceedings contain both surveys and research reports, which have been carefully refereed. They should be of value to both mathematicians and computer scientists.
Author: John M Howie
Publisher: World Scientific
ISBN: 9814545430
Category :
Languages : en
Pages : 290
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Book Description
This volume contains contributions from leading experts in the rapidly developing field of semigroup theory. The subject, now some 60 years old, began by imitating group theory and ring theory, but quickly developed an impetus of its own, and the semigroup turned out to be the most useful algebraic object in theoretical computer science.
Author: A. V. Kuzhel
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112313992
Category : Mathematics
Languages : en
Pages : 288
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Book Description
No detailed description available for "Regular Extensions of Hermitian Operators".
Author: Gracinda M S Gomes
Publisher: World Scientific
ISBN: 9814482323
Category : Mathematics
Languages : en
Pages : 259
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Book Description
In recent years, semigroups and languages have seen huge developments and found their motivation in other fields of mathematics as well as in computer science. This book is a collection of original contributions in those fields.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Author: T. E. Hall
Publisher: Academic Press
ISBN: 1483267334
Category : Mathematics
Languages : en
Pages : 266
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Book Description
Semigroups is a collection of papers dealing with models of classical statistics, sequential computing machine, inverse semi-groups. One paper explains the structure of inverse semigroups that leads to P-semigroups or E-unitary inverse semigroups by utilizing the P-theorem of W.D. Nunn. Other papers explain the characterization of divisibility in the category of sets in terms of images and relations, as well as the universal aspects of completely simple semigroups, including amalgamation, the lattice of varieties, and the Hopf property. Another paper explains finite semigroups which are extensions of congruence-free semigroups, where their set of congruences forms a chain. The paper then shows how to construct such semigroups. A finite semigroup (which is decomposable into a direct product of cyclic semigroups which are not groups) is actually uniquely decomposable. One paper points out when a finite semigroup has such a decomposition, and how its non-group cyclic direct factors, if any, can be found. The collection can prove useful for mathematicians, statisticians, students, and professors of higher mathematics or computer science.
Author: S P Lam
Publisher: World Scientific
ISBN: 9814611425
Category :
Languages : en
Pages : 346
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Book Description
In this proceedings, recent development on various aspects of algebra and number theory were discussed. A wide range of topics such as group theory, ring theory, semi-group theory, topics on algebraic structures, class numbers, quadratic forms, reciprocity formulae were covered.
Author: Alfred Hoblitzelle Clifford
Publisher: American Mathematical Soc.
ISBN: 0821802720
Category : Group theory
Languages : en
Pages : 370
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Book Description
