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The Cohomology of Commutative Semigroups - Pierre Antoine Grillet

The Cohomology of Commutative Semigroups

An Overview
Buch | Softcover
XVIII, 179 Seiten
2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-08211-5 (ISBN)
CHF 74,85 inkl. MwSt
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.
 


- 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
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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