Suppose (R, m) and (S, n) are commutative Noetherian local rings and ϕ: R→ S is a flat
local homomorphism with the property that the induced homomorphism R/m→ S/mS is …

Let M be a right module over a ring R. In this manuscript, we shall study on a special case of
F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We …

We call a module essentially retractable if HomR for all essential submodules N of M. For a
right FBN ring R, it is shown that:(i) A non-zero module is retractable (in the sense that …

A ring extension is a ring homomorphism preserving identities. In this article, we establish
the relationship among relatively flat modules, relatively projective modules and relatively …

Introduction. A ring is called left (right) hereditary in case each left (right) ideal is projective.
Such rings have been studied extensively, and the property of being left hereditary is …

For a ring A, an extension ring B, a fixed right A-module M, the endomorphism ring D formed
by M, the endomorphism ring E formed by AMB⊗, and the endomorphism ring F formed by …

<centerline1ARCHIVUM MATHEMATICUM ( BRNO ) l <centerline1Tomus 44 ( 2008 ) , 9 -- 1 5
l <centerline1ON ENDOMORPHISMS &l Page 1 <centerline1ARCHIVUM MATHEMATICUM …

Modules whose nonzero endomorphisms are epimorphisms and modules whose nonzero
endomorphisms are monomorphisms are considered in this paper. We prove that these two …

In this paper, we investigate some properties of dual automorphism invariant modules over
right perfect rings. Also, we introduce the notion of dual automorphism invariant cover and …

We study rings whose modules and module homomorphisms display behavior similar to that
of sets and their maps. For example, whenever there is an epimorphism A→ B, there is a …