Openness of various loci over Noetherian rings

نویسندگان

چکیده

In this paper, we consider the openness of P-locus a finitely generated module over commutative noetherian ring in case where P is each properties FID, Gor, Can, CM, MCM, (Sn), and (Tn). One main results asserts that FID-loci an acceptable are open. We give version Nagata criterion, prove it holds for all aforementioned properties.

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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.2023.05.042