Homological dimensions of special modules over formal triangular matrix rings Page 1
Journal of Algebra and Its Applications Vol. 21, No. 7 (2022) 2250146 (14 pages) c© World …

Following our previous work about quasi-projective dimension [11], in this paper, we
introduce quasi-injective dimension as a generalization of injective dimension. We recover …

In the last time, several papers concerning the homological dimensions of rings have
appeared in the literature. Among others, C. Nastasescu [lo] has shown that for a …

In this paper, we introduce and study the class of $\phi $-$ w $-flat modules which are
generalizations of both $\phi $-flat modules and $ w $-flat modules. The $\phi $-$ w $-weak …

We introduce and investigate a new injective version of the complete intersection dimension
of Avramov, Gasharov, and Peeva. It is like the complete intersection injective dimension of …

Let R be a ring, na fixed nonnegative integer and In (Fn) the class of all left (right) R-modules
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …

Let $ R $ be a regular local ring containing a field $ k $ of characteristic $ p $ and $ M $ be
an $\mathscr {F} $-finite module. In this paper, we study the injective dimension of $ M $. We …

Chapter 17 Wakamatsu Tilting Modules, U-Dominant Dimension, and k-Gorenstein Modules
Zhaoyong Huang Department of Mathematics, Nanjing University, Nanjing 210093, People's …

In this article, FP-injective complexes are introduced and studied. We prove that (⊥ ℱℐ, ℱℐ)
is a hereditary cotorsion theory if and only if R is a left coherent ring, where ℱℐ denotes the …