Let R be a left coherent ring, S any ring and RωS an (R, S)-bimodule. Suppose ωS has an
ultimately closed FP-injective resolution and RωS satisfies the conditions:(1) ωS is finitely …

A module M over a ring R is called automorphism-invariant if M is invariant under
automorphisms of its injective hull E (M) and M is called co-Hopfian if each injective …

The purpose of this paper is to study non-Å-singular modules with (+ 11) in [Å]. It is shown
that a non-Å-singular module Æ has (+ 11) if and only if Æ has (11) and the summand …

Quasi Principally Injective Modules Page 1 International Journal of Algebra, Vol. 4, 2010, no.
26, 1255 - 1259 Quasi Principally Injective Modules MK Patel, BM Pandeya, AJ Gupta and V …

Let R be a ring with identity and M be a right unitary R-module. In this paper we introduce
the notion of strongly coretractable modules. Some basic properties of this class of modules …

A module M is called finendo (cofinendo) if M is finitely generated (respectively, finitely
cogenerated) over its endomorphism ring. It is proved that if R is any hereditary ring, then the …

Let M and N be modules. Then N is said to be direct M-injective if every submodule of M that
is isomorphic to a direct summand of N is a direct summand of M. Also, we call N an M …

Let R be a ring and M a right R-module. Let N be a proper submodule of M. We say that M is
N-coretractable (or M is coretractable relative to N) provided that, for every proper …