Until now there has been no suitable dimension to measure how far a module deviates from
being uniserial. We define and study a new dimension, which we call uniserial dimension …

A Characterization of Rings with Krull Dimension 104 Page 1 JOURNAL OF ALGEBRA 132,
104-l 12 (1990) A Characterization of Rings with Krull Dimension DINH VAN HUYNH AND …

Continuing an earlier examination of the codominant dimension of rings and modules, a
categorical characterization is given for rings of equivalent dominant and codominant …

Introduction. For a ring S, let FPD (S) denote the right finitistic projective dimension of S, that
isr the supremum of the finite projective dimensions of right S-modules. If S is a projective …

The local rings of global dimension two are characterized. Such rings are either noetherian
rings, valuation rings, or the so-called umbrella rings, A local ring A is an umbrella ring if and …

All the rings and algebras considered in this paper will be commutative, with identity
elements and ring-homomorphisms will be unital. If A is a ring, then dim A will denote the …

Let R be a ring and let M be a left R-module. The classical Krull dimension of M was defined
to be the supremum of the lengths of all strong chains of prime submodules of M and …

For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

Abstract In (n, d)-ring and n-coherent ring theory, n-presented modules plays an important
role. In this paper, we firstly give some new characterizations of n-presented modules and n …

The left global dimension of a semiprime ring, with left Krull dimension α≥ 1 is found to be
the supremum of the projective dimensions of the p-critical cyclic modules where β≤ α. A …