Extending modules which are direct sums of injective modules and semisimple modules Page 1
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …

Essential Extensions of a Direct Sum of Simple Modules-II Page 1 Modules and Comodules
Trends in Mathematics, 243–246 c© 2008 Birkhäuser Verlag Basel/Switzerland Essential …

Rings whose finitely generated modules are extending Page 1 JOURNAL OF PURE AND
Journal of Pure and Applied Algebra 111 (1996) 325-328 APPLIED ALGEBRA Rings whose …

We characterize when the direct sum of an extending module and an injective module is
extending and when the direct sum of an extending module with the finite exchange property …

For a ring R, there are classical facts that R is right Noetherian if and only if every direct sum
of injective right R-modules is injective, and R is right Noetherian if and only if every …

Throughout this paper R will denote a ring with idenity element and M a unitary right module
over R. An R-module M is said to be direct injective if and only if given direct summand N of …

Let R be a ring with identity element and M be a unitary left R-module. M is called quasi-
injective if every element in Hom^ Af, M) for any R-module N in M is extened to an element in …

A moduleMis known to be a CS-module (or an extending module) if every complement
submodule ofMis a direct summand. It is shown that (i) a simple ringRmust be right …

Abstract A right R-module M is virtually extending (or CIS) if every complement submodule of
M is isomorphic to a direct summand of M, and M is called a virtually C2-module if every …

Direct sums of projective modules as direct summaots of their direct product Page 1
COMMLTNICATIONS IN ALGEBRA, 4(7), 681-691 (1976) DIRECT SUMS OF PROJECTIVE …