On dominant and codominant dimension of QF-3 rings Page 1 Pacific Journal of Mathematics
ON DOMINANT AND CODOMINANT DIMENSION OF QF−3 RINGS DAVID A. HILL Vol. 49, No …

The flat dimensions of injective modules Page 1 manuscripta math. 78, 165- 177 (1993)
manuscripta mathematica Spfinger-Verlag 1~3 THE FLAT DIMENSIONS OF INJECTIVE …

Expanding Nakayama's original concept of dominant dimension, Tachikawa, Müller and
Kato have obtained a number of results pertaining to finite dimensional algebras and more …

Recently Tachikawa[8] has proved that, if R is a ring of dominant dimension•† 1, then domi.
dim. RR•† 2 if and only if the injective hull E (RR) of RR has the double centralizer property …

Throughout this note, R stands for a ring with identity and all modules are unital modules. In
this note, for a given module M, we say that M has dominant dimension at least ny written …

Let R be a ring with identity. Let C be a class of R-modules which is closed under
submodules and isomorphic images. Define a submodule C of an R-module M to be a C …

Abstract Dimensions like Gelfand, Krull, Goldie have an intrinsic role in the study of theory of
rings and modules. They provide useful technical tools for studying their structure. We define …

In this paper, all rings are commutative with identity and all modules are unitary. Let R be a
ring and M an R-module. A proper submodule N of M is said to be prime (or P-prime) if rm …

In this paper, we introduce and study the concepts of non-essential Krull dimension and non-
essential Noetherian dimension of an R-module, where R is an arbitrary associative ring …

Introduction. Throughout the paper, R is a ring with identity and right socle S, 3= R/S, and all
modules are right unital modules unless mentioned otherwise. Over the years several …