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math.AC2022
Asymptotic stability of depths of localizations of modules
Kaito Kimura
Let R be a commutative noetherian ring, I an ideal of R, and M a finitely generated R-module. The asymptotic behavior of the quotient modules M/I^n M of M is an actively studied su…
math.AC2022
Openness of various loci over Noetherian rings
Kaito Kimura
In this paper, we consider the openness of the P-locus of a finitely generated module over a commutative noetherian ring in the case where P is each of the properties FID, Gor, CM,…