This paper could be regarded as continuation of [7] by AK Gupta and K. Varadarajan.
Throughout this paper we will be following the standard convention in ring theory. The rings …

Let R and S be arbitrary rings, RM and SN countably generated free modules, and let φ: End
(RM)→ End (sN) be an isomorphism between the endomorphism rings of M and N. Camillo …

The fundamental result of the paper is Theorem I, asserting that over a right Noetherian ring
R, the poor injectivity of all cyclic modules is equivalent to the fact that R is a direct sum of a …

This is a study of the conditions under which smallness of proper submodules will influence
the structure of the endomorphism ring of a module. The case in which that endomorphism …

Abstract A module RM is semiprime if for each 0≠ m ϵ M there exists ƒ ϵ Hom R (M, R) with
(mƒ) m≠ 0. In Section 1 semiprime artinian modules are seen to be isomorphic to finite …

Semi-perfect and perfect modules were introduced by Mares [3] as generalizations of
Bass'[2] notions of semi-perfect and perfect rings. She developed a substantial structure …

Rings whose faithful modules are flat over their endomorphism rings - University of Iowa Logo
image Iowa Research Online Works IRO Home Research units Researcher Profiles About …

Endomorphism rings of finitely presented modules over semiperfect rings are studied,
leading to a Krull-Schmidt decomposition theory of modules for finitely generated modules …

NOTE ON RINGS OF FINITE REPRESENTATION TYPE AND DECOMPOSITIONS OF
MODULES Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY …

A module is serial if its submodules are linearly ordered with respect to inclusion. A ring R is
called left serial if RR is a direct sum of serial modules, and R is called serial if it is both left …