The Cohomology of Commutative Semigroups: An Overview

Author:   Pierre Antoine Grillet
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2022
Volume:   2307
ISBN:  

9783031082115


Pages:   179
Publication Date:   29 September 2022
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Cohomology of Commutative Semigroups: An Overview


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Overview

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.  

Full Product Details

Author:   Pierre Antoine Grillet
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2022
Volume:   2307
Weight:   0.314kg
ISBN:  

9783031082115


ISBN 10:   3031082117
Pages:   179
Publication Date:   29 September 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

- 1. The Beginning. - 2. Beck Cohomology. - 3. Symmetric Cohomology. - 4. Calvo-Cegarra Cohomology. - 5. The Third Cohomology Group. - 6. The Overpath Method. - 7. Symmetric Chains. - 8. Inheritance. - 9. Appendixes.

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