Categories of Commutative Algebras

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9780198535867: Categories of Commutative Algebras

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.

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About the Author:

Yves Diers is in the Department de Mathematiques, I.S.T.V Universite de Valenciennes.

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"A reader who delights in the categorical approach will find a great deal to interest him or her." --Mathematical Reviews


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Diers, Yves
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Book Description Oxford University Press, United Kingdom, 1992. Hardback. Book Condition: New. New. Language: English . Brand New Book. 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 new 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. Bookseller Inventory # AAZ9780198535867

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Book Description Oxford University Press, United Kingdom, 1992. Hardback. Book Condition: New. New.. Language: English . Brand New Book. 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 new 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. Bookseller Inventory # AAZ9780198535867

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Book Description Clarendon Press, 1992. Book Condition: New. Studies the universal constructions and properties in categories of commutative algebras, showing that the concepts arising in commutative algebra and algebraic geometry are not bound to the universe of rings but possess a universality that can be interpreted in various domains of discourse. Num Pages: 280 pages, bibliography. BIC Classification: PBC; PBF. Category: (P) Professional & Vocational. Dimension: 242 x 161 x 22. Weight in Grams: 602. . 1992. 1st Edition. Hardcover. . . . . . Bookseller Inventory # V9780198535867

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