We say that a class Q of left R-modules is a monic class if a nonzero submodule of a module
in Q is also a module in Q. For a monic class Q, we define a Q-dimension of modules that …

In this paper we study the Gabriel dimension of modules over a ring S which is a finite
normalizing extension of a subring R. We prove that for any S-module My the Gabriel …

‎ In this article we study relations between some algebraic‎‎ operations such as tensor product
and localization from one hand‎‎ and some well-known dimensions such as uniform …

Let R be a left and right Noetherian ring. We introduce the notion of the torsionfree
dimension of finitely generated R-modules. For any n 0, we prove that R is a Gorenstein ring …

This article is concerned with the strongly Gorenstein flat dimensions of modules and rings.
We show this dimension has nice properties when the ring is coherent, and extend the well …

Gabriel Dimension and Rings With Involution Page 1 HOUSTON JOURNAL OF
MATHEMATICS, Volume 4, No. 3, 1978. GABRIEL DIMENSION AND RINGS WITH …

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 …

Finite injective dimension over pullbacks of local rings Page 1 COMMUNICATIONS IN
ALGEBRA, 22(8), 3015-3022 (1994) FINITE INJECTIVE DIMENSION OVER PULLBACKS OF …

It is well known that the right global dimension of a ring R is usually computed by the right
derived functors of Hom and the left projective resolutions of right R-modules. In this paper …

Restricted injective dimensions over local homomorphisms Skip to content Should you have
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