Cohen-macaulay modules

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1973Publisher:Springer Berlin Heidelberg

Authors: Melvin Hochster;

doi: 10.1007/bfb0068925

Cohen-macaulay modules

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Abstract

The object of this paper is to discuss the conjecture, which will be abbreviated (E), that every complete local ring of dimension n possesses a finitely generated module of depth n. It is noted that several conjectures which have been open for some time follow from (E), and the connection of (E) with Serre's conjecture on multiplicities over regular local rings is discussed. In fact Serre's conjecture is proved for dimension ≤ 4 using the ideas under consideration.

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University of Minnesota Morris
United States
University of Minnesota
United States

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