Foundations of Commutative Rings and Their Modules

Lingua: inglese

Editore: Springer Sep 2025, 2025

9819752868 / 9789819752867

Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000

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Venditore AbeBooks dal 23 gennaio 2017

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This item is printed on demand - Print on Demand Titel. Neuware -This book provides an introduction to the foundations and recent developments in commutative algebra. A look at the contents of the first five chapters shows that the topics covered are those usually found in any textbook on commutative algebra. However, this book differs significantly from most commutative algebra textbooks: namely in its treatment of the Dedekind-Mertens formula, the (small) finitistic dimension of a ring, Gorenstein rings, valuation overrings, the valuative dimension, and the Nagata rings. Chapter 6 goes on to present w-modules over commutative rings, as they are most commonly used in torsion theory and multiplicative ideal theory. Chapter 7 deals with multiplicative ideal theory over integral domains. Chapter 8 collects various results of pullbacks, especially Milnor squares and D + M constructions, which are probably the most important example-generating machines. In Chapter 9, coherent rings of finite weak global dimensions are probed, and the local ring of weak global dimension two is elaborated by combining homological tricks and methods of star operation theory. Chapter 10 is devoted to the Grothendieck group of a commutative ring. In particular, the Bass-Quillen problem is discussed. Finally, Chapter 11 introduces relative homological algebra, especially where the related notions of integral domains appearing in classical ideal theory are defined and studied using the class of Gorenstein projective modules. In Chapter 12, in this new edition, properties of cotorsion theories are introduced and show, for any cotorsion pair, how to construct their homology theory. Each section of the book is followed by a selection of exercises of varying difficulty. This book appeals to a wide readership, from graduate students to academic researchers interested in studying commutative algebra.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 872 pp. Englisch.…

Codice articolo 9789819752867

Titolo
Foundations of Commutative Rings and Their Modules
Autore
Hwankoo Kim
Editore
Springer Sep 2025
Anno di pubblicazione
2025
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
9819752868
ISBN 13
9789819752867
Edizione
seconda edizione
Peso dell'articolo
1452 grammi
Dimensioni
235x155x44 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germania

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Venditore AbeBooks dal 23 gennaio 2017

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ArticoloDa 60 a 60 giorni lavorativiDa 60 a 60 giorni lavorativi
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