Categories of commutative algebras / Yves Diers.

Format:

Book

Author/Creator:

Diers, Yves, 1937-

Series:

Oxford science publications

Language:

English

Subjects (All):

Commutative algebra.

Categories (Mathematics).

Physical Description:

ix, 271 pages ; 25 cm.

Place of Publication:

Oxford : Clarendon Press ; New York : Oxford University Press, 1992.

Summary:

This book studies the universal constructions and properties in categories of commutative algebras, bringing out the specific properties that make commutative algebra and algebraic geometry work. Two universal constructions are presented and used here for the first time. The author shows that the concepts and constructions arising in commutative algebra and algebraic geometry are not bound so tightly to the absolute universe of rings, but possess a universality that is independent of them and can be interpreted in various categories of discourse. This brings new flexibility to classical commutative algebra and affords the possibility of extending the domain of validity and the application of the vast number of results obtained in classical commutative algebra. This innovative and original work will interest mathematicians in a range of specialities, including algebraists, categoricians, and algebraic geometers.

Notes:

Includes bibliographical references (pages [265]-266).

Includes indexes.

ISBN:

0198535864 :

OCLC:

24630697