[HTML][HTML] A uniform bound of reducibility index of good parameter ideals for certain class of modules

TD Dung - Journal of Pure and Applied Algebra, 2019 - Elsevier
Let (R, m) be a Noetherian local ring and M a finitely generated R-module. The invariants p
(M) and sp (M) of M were introduced in [3] and [17] in order to measure the non-Cohen …

[HTML][HTML] Non Cohen–Macaulay locus of canonical modules

TN An, LP Thao - Journal of Algebra, 2019 - Elsevier
Let (R, m) be a Noetherian local ring which is a quotient of a Gorenstein local ring. Let M be
a finitely generated R-module and KM the canonical module of M. Denote by nCM (M) the …