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Author: Alfred Hoblitzelle Clifford
Publisher:
ISBN:
Category : Groupoids
Languages : en
Pages : 35
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Book Description
Author: Alfred Hoblitzelle Clifford
Publisher:
ISBN:
Category : Groupoids
Languages : en
Pages : 35
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Book Description
Author: Mario Petrich
Publisher: Springer Nature
ISBN: 3031428919
Category :
Languages : en
Pages : 248
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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: E. S. Li͡apin
Publisher: American Mathematical Soc.
ISBN: 9780821886410
Category : Mathematics
Languages : en
Pages : 542
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Author: Thomas Eric Hall
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 20
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Author: Simon M. Goberstein
Publisher: Springer Science & Business Media
ISBN: 940093839X
Category : Mathematics
Languages : en
Pages : 214
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Book Description
Most papers published in this volume are based on lectures presented at the Chico Conference on Semigroups held on the Chico campus of the Cal ifornia State University on April 10-12, 1986. The conference was spon sored by the California State University, Chico in cooperation with the Engineering Computer Sciences Department of the Pacific Gas and Electric Company. The program included seven 50-minute addresses and seventeen 30-minute lectures. Speakers were invited by the organizing committee consisting of S. M. Goberstein and P. M. Higgins. The purpose of the conference was to bring together some of the leading researchers in the area of semigroup theory for a discussion of major recent developments in the field. The algebraic theory of semigroups is growing so rapidly and new important results are being produced at such a rate that the need for another meeting was well justified. It was hoped that the conference would help to disseminate new results more rapidly among those working in semi groups and related areas and that the exchange of ideas would stimulate research in the subject even further. These hopes were realized beyond all expectations.
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: Raymond Ernest Broeksteeg
Publisher:
ISBN:
Category : Semigroups
Languages : en
Pages : 28
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Book Description
Author: T E Hall
Publisher: World Scientific
ISBN: 9814569402
Category :
Languages : en
Pages : 354
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Book Description
This conference celebrated the 65th birthday of Professor G B Preston of Monash University. Containing contributions from almost all his mathematical progeny, the proceedings is a tribute to his influence on semigroup and Australian mathematics.
Author: Masami Ito
Publisher: World Scientific
ISBN: 9814552151
Category :
Languages : en
Pages : 554
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Book Description
The research results published in this set of proceedings range from pure semigroup theory to theoretical computer science, in particular formal languages and automata. Contributed by internationally recognized researchers, the papers address issues in the algebraic and combinatorial theories of semigroups, the structure theory of automata, the classification theory of formal languages and codes and applications of these theories to various areas like circuit testing, coding theory, or cryptography. The underlying theme is the semigroup and automaton theories and their role in certain applications.
