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Special Classes Of Semigroups


Special Classes Of Semigroups
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Special Classes Of Semigroups


Special Classes Of Semigroups
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Author : Attila Nagy
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-05-31

Special Classes Of Semigroups written by Attila Nagy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-31 with Mathematics categories.


In semigroup theory there are certain kinds of band decompositions, which are very useful in the study of the structure semigroups. There are a number of special semigroup classes in which these decompositions can be used very successfully. The book focuses attention on such classes of semigroups. Some of them are partially discussed in earlier books, but in the last thirty years new semigroup classes have appeared and a fairly large body of material has been published on them. The book provides a systematic review on this subject. The first chapter is an introduction. The remaining chapters are devoted to special semigroup classes. These are Putcha semigroups, commutative semigroups, weakly commutative semigroups, R-Commutative semigroups, conditionally commutative semigroups, RC-commutative semigroups, quasi commutative semigroups, medial semigroups, right commutative semigroups, externally commutative semigroups, E-m semigroups, WE-m semigroups, weakly exponential semigroups, (m,n)-commutative semigroups and n(2)-permutable semigroups. Audience: Students and researchers working in algebra and computer science.



Semigroups Categories And Partial Algebras


Semigroups Categories And Partial Algebras
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Author : P. G. Romeo
language : en
Publisher: Springer Nature
Release Date : 2021-03-26

Semigroups Categories And Partial Algebras written by P. G. Romeo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-26 with Mathematics categories.


This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.



Semigroups Theory And Applications


Semigroups Theory And Applications
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Author : Helmut Jürgensen
language : en
Publisher: Springer
Release Date : 2006-11-14

Semigroups Theory And Applications written by Helmut Jürgensen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.




Special Classes Of Semigroups


Special Classes Of Semigroups
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Author : A. Nagy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Special Classes Of Semigroups written by A. Nagy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.


In semigroup theory there are certain kinds of band decompositions, which are very useful in the study of the structure semigroups. There are a number of special semigroup classes in which these decompositions can be used very successfully. The book focuses attention on such classes of semigroups. Some of them are partially discussed in earlier books, but in the last thirty years new semigroup classes have appeared and a fairly large body of material has been published on them. The book provides a systematic review on this subject. The first chapter is an introduction. The remaining chapters are devoted to special semigroup classes. These are Putcha semigroups, commutative semigroups, weakly commutative semigroups, R-Commutative semigroups, conditionally commutative semigroups, RC-commutative semigroups, quasi commutative semigroups, medial semigroups, right commutative semigroups, externally commutative semigroups, E-m semigroups, WE-m semigroups, weakly exponential semigroups, (m,n)-commutative semigroups and n(2)-permutable semigroups. Audience: Students and researchers working in algebra and computer science.



Semigroups


Semigroups
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Author : T. E. Hall
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Semigroups written by T. E. Hall and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


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.



Semigroup Algebras


Semigroup Algebras
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Author : Jan Okninski
language : en
Publisher: CRC Press
Release Date : 2020-08-27

Semigroup Algebras written by Jan Okninski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-27 with Mathematics categories.


Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily drawing on the literature of the last 10 years, and including several new results. Okninski (Warsaw U., Poland) restricts coverage to the ring theoretical properties for which a systematic treatment is current



Semigroups


Semigroups
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Author : E. S. Li͡apin
language : en
Publisher: American Mathematical Soc.
Release Date : 1968

Semigroups written by E. S. Li͡apin 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 1968 with Mathematics categories.




Categories Of Algebraic Systems


Categories Of Algebraic Systems
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Author : M. Petrich
language : en
Publisher: Springer
Release Date : 2006-11-14

Categories Of Algebraic Systems written by M. Petrich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


The leitmotiv of this monograph is the unity of the modest part of mathematics encompassed by the algebraic and geometric structures mentioned in its title. Some of the relationships discussed here are very old, indeed "classical", some of them are quite recent, and still lack "status", but the categorical setting in which they are presented is considered here for the first time.



Semigroups For Delay Equations


Semigroups For Delay Equations
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Author : Andras Batkai
language : en
Publisher: CRC Press
Release Date : 2005-09-05

Semigroups For Delay Equations written by Andras Batkai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-05 with Mathematics categories.


In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied



Semigroups And Their Subsemigroup Lattices


Semigroups And Their Subsemigroup Lattices
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Author : L.N. Shevrin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Semigroups And Their Subsemigroup Lattices written by L.N. Shevrin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


0.1. General remarks. For any algebraic system A, the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat the empty set as a subsystem.) The study of various inter-relationships between systems and their subsystem lattices is a rather large field of investigation developed over many years. This trend was formed first in group theory; basic relevant information up to the early seventies is contained in the book [Suz] and the surveys [K Pek St], [Sad 2], [Ar Sad], there is also a quite recent book [Schm 2]. As another inspiring source, one should point out a branch of mathematics to which the book [Baer] was devoted. One of the key objects of examination in this branch is the subspace lattice of a vector space over a skew field. A more general approach deals with modules and their submodule lattices. Examining subsystem lattices for the case of modules as well as for rings and algebras (both associative and non-associative, in particular, Lie algebras) began more than thirty years ago; there are results on this subject also for lattices, Boolean algebras and some other types of algebraic systems, both concrete and general. A lot of works including several surveys have been published here.