Download or read book Completely Regular Semigroup Varieties written by Mario Petrich and published by Springer Nature. This book was released on with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Completely Regular Semigroup Varieties written by Mario Petrich and published by Springer. This book was released on 2024-09-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents further developments and applications in the area of completely regular semigroup theory, beginning with applications of Polák’s theorem to obtain detailed descriptions of various kernel classes including the K-class covers of the kernel class of all bands. The important property of modularity of the lattice of varieties of completely regular semigroups is then employed to analyse various principal sublattices. This is followed by a study of certain important complete congruences on the lattice; the group, local and core relations. The next chapter is devoted to a further treatment of certain free objects and related word problems. There are many constructions in the theory of semigroups. Those that have played an important role in the theory of varieties of completely regular semigroups are presented as they apply in this context. The mapping that takes each variety to its intersection with the variety of bands is a complete retraction of the lattice of varieties of completely regular semigroups onto the lattice of band varieties and so induces a complete congruence for which every class has a greatest member. The sublattice generated by these greatest members is then investigated with the help of many applications of Polák’s theorem. The book closes with a fascinating conjecture regarding the structure of this sublattice.
Download or read book Completely Regular Semigroups written by Mario Petrich and published by Wiley-Interscience. This book was released on 1999-04-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Present a systematic treatment of completely regular semigroups, from introductory to research level, comprised of preliminaries on lattices, semigroups, varieties, and complete regularity; congruences and relations on the congruence lattice; and varieties of completely regular semigroups through kernals, and traces of congruences and Malcev products.
Download or read book Lattices Semigroups and Universal Algebra written by Jorge Almeida and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.
Download or read book Semigroups and Their Applications written by Simon M. Goberstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Semigroups Automata And Languages written by Jorge Almeida and published by World Scientific. This book was released on 1996-01-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Words Languages And Combinatorics Ii Proceedings Of The International Conference written by Masami Ito and published by World Scientific. This book was released on 1994-09-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Monoids And Semigroups With Applications Proceedings Of The Berkeley Workshop In Monoids written by John Rhodes and published by #N/A. This book was released on 1991-03-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the Berkeley Workshop on Monoids was to give expository talks by the most qualified experts in the emerging main areas of monoid and semigroup theory including applications to theoretical computer science. This was supplemented with current research papers. The topics covered, in an accessible way for the mathematical and theoretical computer community, were: Kernels and expansions in semigroup theory; Implicit operations; Inverse monoids; Varieties of semigroups and universal algebra; Linear semigroups and monoids of Lie type; Monoids acting on tress; Synthesis theorem, regular semigroups, and applications; Type-II conjecture; Application to theoretical computer science and decision problems.
Download or read book M Solid Varieties of Algebras written by Jörg Koppitz and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on solid varieties of semirings and semigroups. The book aims to develop the theory of solid varieties as a system of mathematical discourse that is applicable in several concrete situations. A unique feature of this book is the use of Galois connections to integrate different topics.
Download or read book Proceedings of the International Conference on Algebra Dedicated to the Memory of A I Mal cev written by Leonid A. Bokut' and published by American Mathematical Soc.. This book was released on 1992 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Semigroups Algorithms Automata And Languages written by Gracinda M S Gomes and published by World Scientific. This book was released on 2002-11-26 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thematic term on “Semigroups, Algorithms, Automata and Languages” organized at the International Centre of Mathematics (Coimbra, Portugal) in May-July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science.This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included.
Download or read book Semigroups written by T. E. Hall and published by Academic Press. This book was released on 2014-05-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Semigroups and Formal Languages written by Jorge M. Andre and published by World Scientific. This book was released on 2007 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.
Download or read book Semigroups And Formal Languages Proceedings Of The International Conference written by Gracinda M S Gomes and published by World Scientific. This book was released on 2007-06-11 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.
Download or read book Semigroup Theory Proceedings Of The Monash Conference On Semigroup Theory In Honor Of G B Preston written by T E Hall and published by World Scientific. This book was released on 1991-05-21 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1994-03 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Semigroups And Applications written by John M Howie and published by World Scientific. This book was released on 1998-12-08 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
