We introduce and study the concept of small Krull dimension of a module which is Krull-like
dimension extension of the concept of DCC on small submodules. Using this concept we …

We investigate injective dimension of $ F $-finite $ F $-modules in characteristic $ p $ and
holonomic $ D $-modules in characteristic 0. One of our main results is the following. If …

In this article, we introduce the concept of parallel Krull dimension of a module (briefly, p.
Krull dimension), which is Krull-like dimension extension of the concept of DCC on poset of …

Copresented Dimension of Modules Page 1 Iranian Journal of Mathematical Sciences and
Informatics Vol. 14, No. 2 (2019), pp 153-157 DOI: 10.7508/ijmsi.2019.02.012 Copresented …

IDEALS GENERATED BY THREE ELEMENTS idealI,d(R\l)=h. Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 35, No. 1, September 1972 IDEALS …

In this paper M will always denote a right ideal of a ring T with an identity element, and R will
always denote a unital subring of T that contains M as a two-sided ideal. Such a subring R is …

Ail rings will be assumed to have identity elements preserved by ring homomorphisms, and
ail modules, unless specified otherwise, will be left modules. For a ring S, lgld S and lwd S …

The small finitistic dimension of a ring is determined as the supremum projective dimensions
among modules with finite projective resolutions. This paper seeks to establish that, for a …

Let R be a commutative Noetherian ring. If cmd R≤ 1, then it is shown that for any R-module
the large restricted injective dimension is a refinement of the Gorenstein injective dimension …