Commutative Algebra: Constructive Methods

Finite Projective Modules

Autor: Henri Lombardi, Claude Quitte

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer

Dostupnosť: Skladom u dodávateľa

Odosielame za 5-8 dní

199.78 €

Translated from the popular French edition, this book offers a detailed introduction to various basi...

Informácie o knihe

Autor

Henri Lombardi, Claude Quitte

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2016

Stránok

996

EAN

9789402403992

ISBN

940240399X

Enbook ID

15366681

Vydavateľ

Springer

Hmotnosť

1553

Rozmery

155 x 235 x 56

Kompletný popis

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.

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Commutative Algebra: Constructive Methods

Finite Projective Modules

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