Sequences that Preserve the Homological Degree

    Authors

    J. P. Brennan;C. Ciuperca

    Comments

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    Abstract

    The homological degree is a cohomological degree generalizing the classical degree function of a module. Given a finitely generated graded module M, over a standard graded ring A, this note is concerned with the question of when, for an element x in the augmentation ideal of A that is not in any associated prime of M other than the augmentation ideal itself, the homological degree of M is equal to the homological degree of M/xM. This question is answered when the dimension of M is one or two.

    Journal Title

    Communications in Algebra

    Volume

    37

    Issue/Number

    5

    Publication Date

    1-1-2009

    Document Type

    Article

    First Page

    1647

    Last Page

    1655

    WOS Identifier

    WOS:000265856100012

    ISSN

    0092-7872

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