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Algebra --- Commutative algebra --- Congresses. --- 51 --- -Algebra --- Mathematics --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Commutative algebras - Congresses. --- Commutative algebra - Congresses.

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This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is via Hochster's 'Big Cohen-Macaulay modules', though the complementary view point of Peskine-Szpiro and Roberts, who study the homology of certain complexes, is not neglected. Various refinements of Hochster's construction, obtained in collaboration with Bartijn, are included. A special feature is a long chapter written by Van den Dries which explains how a certain type of result can be 'lifted' from prime characteristic to characteristic zero. Though this is primarily a research monograph, it does provide introductions to most of the topics treated. Non-experts may therefore find it an appealing guide into an active area of algebra.

Commutative algebra. --- Homology theory. --- Cohomology theory --- Contrahomology theory --- Algebraic topology --- Algebra

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512.71 --- 512.55 --- #WWIS:d.d. Frank Laforce --- #WWIS:ALTO --- Commutative rings and algebras. Local theory. Foundations of algebraic geometry --- Rings and modules --- 512.55 Rings and modules --- 512.71 Commutative rings and algebras. Local theory. Foundations of algebraic geometry --- Commutative algebra --- Algebra --- Algèbres commutatives