Let C be a semidualizing module over a commutative noetherian ring R. We exhibit an
isomorphism Tor^F_CM_i(-,-)≅Tor^P_CM_i(-,-) between the bifunctors defined via C-flat and …

A degree of a module $ M $ is a numerical measure of information carried by $ M $. We
highlight some of Vasconcelos' outstanding contributions to the theory of degrees, bridging …

The notion of Burch ideals and Burch submodules were introduced (and studied) by Dao-
Kobayashi-Takahashi in 2020 and Dey-Kobayashi in 2022 respectively. The aim of this …

In this paper we consider a question of Roger Wiegand, which is about tensor products of
finitely generated modules that have finite projective dimension over commutative …

Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper, after
recalling briefly the main properties of the amalgamated duplication ring RI which is …

We discuss invariants of Cohen-Macaulay local rings that admit a canonical module ω.
Attached to each such ring R, when ω is an ideal, there are integers–the type of R, the …

Differential graded (DG) commutative algebra provides powerful techniques for proving
theorems about modules over commutative rings. These notes are a somewhat colloquial …

In this paper we further develop the theory of linkage with respect to a semidualizing module
C introduced in 2018 by Dibaei and Sadeghi. It is shown that under certain conditions a …

Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. For R-
modules M and N, the notions grade PC (M, N) and grade IC (M, N) are introduced as the …

On Flat and Gorenstein Flat Dimensions of Local Cohomology Modules Page 1 Canad. Math.
Bull. Vol. (), pp. – http://dx.doi.org/. /CMB---x ©Canadian Mathematical Society On Flat and …