Lectures On Orthodox Semigroups
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Lectures On Orthodox Semigroups
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Author : David E. Zitarelli
language : en
Publisher:
Release Date : 1976
Lectures On Orthodox Semigroups written by David E. Zitarelli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Semigroups categories.
Lectures In Semigroups
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Author : M. Petrich
language : de
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-01-19
Lectures In Semigroups written by M. Petrich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-19 with Social Science categories.
Homological Algebra
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Author : Marco Grandis
language : en
Publisher: World Scientific
Release Date : 2012-06-08
Homological Algebra written by Marco Grandis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Mathematics categories.
In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories. Lattices of subobjects are shown to play an important role in the study of homological systems, from simple chain complexes to all the structures that give rise to spectral sequences. A parallel role is played by semigroups of endorelations. These links rest on the fact that many such systems, but not all of them, live in distributive sublattices of the modular lattices of subobjects of the system. The property of distributivity allows one to work with induced morphisms in an automatically consistent way, as we prove in a ‘Coherence Theorem for homological algebra’. (On the contrary, a ‘non-distributive’ homological structure like the bifiltered chain complex can easily lead to inconsistency, if one explores the interaction of its two spectral sequences farther than it is normally done.) The same property of distributivity also permits representations of homological structures by means of sets and lattices of subsets, yielding a precise foundation for the heuristic tool of Zeeman diagrams as universal models of spectral sequences. We thus establish an effective method of working with spectral sequences, called ‘crossword chasing’, that can often replace the usual complicated algebraic tools and be of much help to readers that want to apply spectral sequences in any field. Homological Algebra: In Strongly Non-Abelian Settings Contents:IntroductionCoherence and Models in Homological AlgebraPuppe-Exact CategoriesInvolutive CategoriesCategories of Relations as RE-CategoriesTheories and ModelsHomological Theories and Their Universal ModelsAppendix A: Some Points of Category TheoryAppendix B: A Proof for the Universal Exact System Readership: Graduated students in Mathematics and professional researchers in mathematics. Keywords:Non Abelian Homological Algebra;Spectral Sequences;Distributive Lattices;Orthodox Semigroups;Categories of RelationsKey Features:A paper by E C Zeeman and the book by Hilton and Wylie (referred to below, in point 12) introduced Zeeman diagrams as a heuristic tool for representing spectral sequences. But the theory that makes this legitimate, as a theoretical method, is given here, for the first time in book form (and elsewhere it only exists in papers of mine). The universal models of many other homological systems are also given and studiedThis has never been presented elsewhere in book form, and has only been studied in a series of papers of mine, published in different journalsAs in the previous pointReviews:“The book is a fine culmination to many papers of the author going back to 1967.”Zentralblatt MATH
Regular Semigroups As Extensions
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Author : Francis J. Pastijn
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1985
Regular Semigroups As Extensions written by Francis J. Pastijn and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Group extensions (Mathematics). categories.
Semigroups And Their Applications
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Author : Simon M. Goberstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Semigroups And Their Applications written by Simon M. Goberstein 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 2012-12-06 with Mathematics categories.
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.
Proceedings Of The Symposium On Semigroups
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Author :
language : en
Publisher:
Release Date : 1984
Proceedings Of The Symposium On Semigroups written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Semigroups categories.
Nineteen Papers On Algebraic Semigroups
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Author : Ben Silver
language : en
Publisher: American Mathematical Soc.
Release Date : 1988-12-31
Nineteen Papers On Algebraic Semigroups written by Ben Silver 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 1988-12-31 with Mathematics categories.
This volume contains papers selected by leading specialists in algebraic semigroups in the U.S., the United Kingdom, and Australia. Many of the papers strongly influenced the development of algebraic semigroups, but most were virtually unavailable outside the U.S.S.R. Written by some of the most prominent Soviet researchers in the field, the papers have a particular emphasis on semigroups of transformations. Boris Schein of the University of Arkansas is the translator.
Semigroup Theory Proceedings Of The Monash Conference On Semigroup Theory In Honor Of G B Preston
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Author : T E Hall
language : en
Publisher: World Scientific
Release Date : 1991-05-21
Semigroup Theory Proceedings Of The Monash Conference On Semigroup Theory In Honor Of G B Preston written by T E Hall and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-05-21 with categories.
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.
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.
Lattices Semigroups And Universal Algebra
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Author : Jorge Almeida
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Lattices Semigroups And Universal Algebra written by Jorge Almeida 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.
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.