The Cohomology of Commutative Semigroups
An Overview
Seiten
2022
|
1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-08211-5 (ISBN)
Springer International Publishing (Verlag)
978-3-031-08211-5 (ISBN)
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.
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.
- 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.
| Erscheinungsdatum | 30.09.2022 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | XVIII, 179 p. 1 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 314 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Algebra | |
| Schlagworte | Beck Cohomology • Commutative Semigroup Cohomology • Inheritance of Symmetry Conditions • legacy • Overpath Method • Simplicial sets • Symmetric Cohomology • Symmetric Mapping • symmetry • Symmetry Conditions • Symmetry Property • Triple Cohomology |
| ISBN-10 | 3-031-08211-7 / 3031082117 |
| ISBN-13 | 978-3-031-08211-5 / 9783031082115 |
| Zustand | Neuware |
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