On the arithmetic and homology of algebras of linear type

Author:

Herzog J.,Simis A.,Vasconcelos W. V.

Abstract

Three modifications of the symmetric algebra of a module are introduced and their arithmetical and homological properties studied. Emphasis is placed on converting syzygetic properties of the modules into ideal theoretic properties of the algebras, e.g. Cohen-Macaulayness, factoriality. The main tools are certain Fitting ideals of the module and an extension to modules of a complex of not necessarily free modules that we have used in studying blowing-up rings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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