The structure of quasi-complete intersection ideals

نویسندگان

چکیده

We prove that every quasi-complete intersection (q.c.i.) ideal is obtained from a pair of nested complete ideals by way flat base change. As by-product we establish rigidity statement for the minimal two-step Tate complex associated to an I in local ring R. Furthermore, define T each R; and result it. The exact if only q.c.i. ideal; this case, resolution R/I free R-modules.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2023

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2023.05.039