The Cohomology Of Monoids
DOWNLOAD
Download The Cohomology Of Monoids PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Cohomology Of Monoids book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Cohomology Of Monoids
DOWNLOAD
Author : Antonio M. Cegarra
language : en
Publisher: Springer Nature
Release Date : 2024
The Cohomology Of Monoids written by Antonio M. Cegarra and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Algebra categories.
Zusammenfassung: This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech's original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This book is an organized, accessible, and self-contained account of this cohomology that includes more recent significant developments that were previously scattered among various publications, along with completely new material. It summarizes the original Leech theory and provides a modern and thorough treatment of the cohomological classification of coextensions of both monoids and monoidal groupoids, including the case of monoids with operators. This cohomology is also compared to the classical Eilenberg-Mac Lane and Hochschild-Mitchell cohomologies. Connections are also established with the Lausch-Loganathan cohomology theory for inverse semigroups, the Gabriel-Zisman cohomology of simplicial sets, the Wells cohomology of small categories (also known as Baues-Wirsching cohomology), Grothendieck sheaf cohomology, and finally Beck's triple cohomology. It also establishes connections with Grillet's cohomology theory for commutative semigroups. The monograph is aimed at researchers in the theory of monoids, or even semigroups, and its interface with category theory, homological algebra, and related fields. However, it is also written to be accessible to graduate students in mathematics and mathematicians in general
Two Papers Mathcal H Coextensions Of Monoids And The Structure Of A Band Of Groups
DOWNLOAD
Author : Jonathan Leech
language : en
Publisher: American Mathematical Soc.
Release Date : 1975
Two Papers Mathcal H Coextensions Of Monoids And The Structure Of A Band Of Groups written by Jonathan Leech 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 1975 with Mathematics categories.
In the second paper, the structure of a band of groups is studied by means of the techniques of the first paper.
Monoids Groups And Rings
DOWNLOAD
Author : Yutze Chow
language : en
Publisher: Gordon & Breach Science Publishers
Release Date : 1976
Monoids Groups And Rings written by Yutze Chow and has been published by Gordon & Breach Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
The Cohomology Of Commutative Semigroups
DOWNLOAD
Author : Pierre Antoine Grillet
language : en
Publisher: Springer Nature
Release Date : 2022-09-28
The Cohomology Of Commutative Semigroups written by Pierre Antoine Grillet and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-28 with Mathematics categories.
This book provides an organized exposition of the current state of the theory of commutative semigroup cohomology, a theory which was originated by the author and has matured in the past few years. The work contains a fundamental scientific study of questions in the theory. The various approaches to commutative semigroup cohomology are compared. The problems arising from definitions in higher dimensions are addressed. Computational methods are reviewed. The main application is the computation of extensions of commutative semigroups and their classification. Previously the components of the theory were scattered among a number of research articles. This work combines all parts conveniently in one volume. It will be a valuable resource for future students of and researchers in commutative semigroup cohomology and related areas.
Cohomology Theories For Compact Abelian Groups
DOWNLOAD
Author : Karl H. Hofmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cohomology Theories For Compact Abelian Groups written by Karl H. Hofmann 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.
Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian". Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two.
Refinement Monoids Equidecomposability Types And Boolean Inverse Semigroups
DOWNLOAD
Author : Friedrich Wehrung
language : en
Publisher: Springer
Release Date : 2017-09-09
Refinement Monoids Equidecomposability Types And Boolean Inverse Semigroups written by Friedrich Wehrung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-09 with Mathematics categories.
Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, called the type monoid. The new techniques contrast with the currently available topological approaches. Many positive results, but also many counterexamples, are provided.
Finitely Generated Commutative Monoids
DOWNLOAD
Author : J. C. Rosales
language : en
Publisher: Nova Publishers
Release Date : 1999
Finitely Generated Commutative Monoids written by J. C. Rosales and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
A textbook for an undergraduate course, requiring only a knowledge of basic linear algebra. Explains how to compute presentations for finitely generated cancellative monoids, and from a presentation of a monoid, decide whether this monoid is cancellative, reduced, separative, finite, torsion free, group, affine, full, normal, etc. Of most interest to people working with semigroup theory, but also in other areas of algebra. Annotation copyrighted by Book News, Inc., Portland, OR
The Representation Theory Of The Increasing Monoid
DOWNLOAD
Author : Sema Güntürkün
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-22
The Representation Theory Of The Increasing Monoid written by Sema Güntürkün and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-22 with Mathematics categories.
View the abstract.
Linear Algebraic Monoids
DOWNLOAD
Author : Lex E. Renner
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-11
Linear Algebraic Monoids written by Lex E. Renner 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 2005-03-11 with Mathematics categories.
The theory of linear algebraic monoids culminates in a coherent blend of algebraic groups, convex geometry, and semigroup theory. The book discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. An explicit cell decomposition is constructed for the wonderful compactification, as is a universal deformation for any semisimple group. A final chapter summarizes important connections with other areas of algebra and geometry. The book will serve as a solid basis for further research. Open problems are discussed as they arise and many useful exercises are included.
Monoids And Semigroups With Applications Proceedings Of The Berkeley Workshop In Monoids
DOWNLOAD
Author : John Rhodes
language : en
Publisher: #N/A
Release Date : 1991-03-06
Monoids And Semigroups With Applications Proceedings Of The Berkeley Workshop In Monoids written by John Rhodes and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-06 with categories.
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.