Linkage by generically Gorenstein, Cohen-Macaulay ideals

    Authors

    H. M. Martin

    Comments

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    Abbreviated Journal Title

    J. Algebra

    Keywords

    Mathematics

    Abstract

    In this paper, we study linkage by a wider class of ideals than the complete intersections. We are most interested in how the Cohen-Macaulay property behaves along this more general notion of linkage. In particular, if ideals A and B are linked by a generically Gorenstein Cohen-Macaulay ideal I, and if A is a Cohen-Macaulay ideal, we give a criterion for B to be a Cohen-Macaulay ideal. When R/B is not Cohen-Macaulay, we can give in many cases an easy description of the non-Cohen-Macaulay locus of R/B, and also a criterion for R/B to have almost maximal depth. (C) 1998 Academic Press.

    Journal Title

    Journal of Algebra

    Volume

    207

    Issue/Number

    1

    Publication Date

    1-1-1998

    Document Type

    Article

    Language

    English

    First Page

    43

    Last Page

    71

    WOS Identifier

    WOS:000075645000002

    ISSN

    0021-8693

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