Let M be a non-zero module over an associative (not necessarily commutative) ring. In this
paper, we investigate the so-called second and coprime submodules of M. Moreover, we …

Given a duo module M over an associative (not necessarily commutative) ring R, a Zariski
topology is defined on the spectrum Specfp (M) of fully prime R-submodules of M. We …

Let R be a ring. A right R-module M is called “essentially compressible” if it embeds in each
of its essential submodules. Also a module XR is called “completely essentially …

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

This note gives a unifying characterization and exposition of strongly irreducible elements
and their duals in lattices. The interest in the study of strong irreducibility stems from …

Prime objects were defined as generalization of simple objects in the categories of rings
(modules). In this paper we introduce and investigate what turns out to be a suitable …

A fully invariant submodule of is called fully prime in if for fully invariant submodules and of,
implies or with. In this paper, we give some characterizations of fully prime submodules. We …

A submodule N of M is idempotent if N= N⋆ N= Hom (M, N) N. In this paper we give some
properties of idempotent submodules. Relations between the multiplication, pure, and …

Modules (cogenerated by nonzero their submodules) having nonzero square
homomorphism in nonzero submodules are said (prime) weakly compressible (wc). Such …

The identification problem of an inclusion is considered in the paper. The inclusion is
unknown subdomain of a given physical region. The available information on the inclusion …