Let I be an ideal of a Noetherian ring R and M be a finitely generated R-module. We
introduce the class of extension modules of finitely generated modules by the class of all …

Let (R, m) be a complete commutative Noetherian local ring, I an ideal of R, M an R-module
(not necessarily I-torsion) and N a finitely generated R-module with Supp R (N)⊆ V (I). It is …

Let R be a commutative Noetherian ring, I an ideal of R, M an R-module (not necessary I-
torsion) and K a finitely generated R-module with Supp R (K)⊆ V (I). It is shown that if M is I …

Let (R, m) be a complete Noetherian local ring, I an ideal of R and M a nonzero Artinian R-
module. In this paper it is shown that if p is a prime ideal of R such that dim R/p= 1 and (0: M …