The concepts of an intrinsically projective module and an intrinsically injective module are
introduced and their connection with the presence of annihilator conditions in the …

Let R be a ring and X a right R-module (all rings have identities and all modulesare unitary).
The intersection of all non-zero submodules of X is denoted by μ (X). The module X is called …

The paper is a study of modules with a local endomorphism ring. We consider
decompositions of modules and give a simple proof of Azumaya's theorem. We also define …

The concept of a module M being almost N-injective, where N is some module, was
introduced by Baba (1989). For a given module M, the class of modules N, for which M is …

ON THE ENDOMORPHISM RING OF A DISCRETE MODULE: A THEOREM OF F. KASCH Page
1 ON THE ENDOMORPHISM RING OF A DISCRETE MODULE: A THEOREM OF F. KASCH …

0. Introduction. It is well known that a commutative noetherian ring with identity is artinian if
and only if its injective(directly) indecomposable modules are finitely generated. If R is left …

A remark on matrix rings over free ideal rings Page 1 PROCEEDINGS OF THE Cambridge
Philosophical Society VOL. 62 JANUARY 1966 PART 1 Proc. Camb. Phil. Soc. (1966), 62, 1 …

REGULAR ENDOMORPHISMS OF FINITELY GENERATED MODULES Page 1 REGULAR
ENDOMORPHISMS OF FINITELY GENERATED MODULES WOLMER V. VASCONCELOS …

Projectivity and flatness over the endomorphism ring of a finitely generated module Page 1
IJMMS 2004:30, 1581–1588 PII. S0161171204310082 http://ijmms.hindawi.com © Hindawi …

Conditions for the endomorphism ring of a (finitely generated) projective module to be left
(semi) hereditary have been studied in several papers ([2],[7],[8]). In [2] and [8] it is shown …