Modules which are extending relative to module classes Page 1 COMMUNICATIONS IN
ALGEBRA, 26(6), 1699- 172 1 (1998) MODULES WHICH ARE EXTENDING RELATIVE TO …

A ring R is called left morphic if R/Ra≅ l (a) for every a∈ R. A left and right morphic ring is
called a morphic ring. If Mn (R) is morphic for all n≥ 1 then R is called a strongly morphic …

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

Throughout this paper we assume that all modules are finitely generated (left) modules over
a noetherian R-algebra A for a commutative local ring R. By a noetherian R-algebra A, we …

If A and B are right quotient rings of R, and if BR is module monomorphism of AR into BR
which induces the identity map on R, then is ring monomorphism of A into B PROOF. If x …

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 …

Let R be a cumulative ring with identity and let M be a unital left R-module. Harada and
Muller introduce the following concept an R-module M is called extending module if every …

We generalize completely prime ideals in rings to submodules in modules. The notion of
multiplicative systems of rings is generalized to modules. Let N be a submodule of a left R …

Let R be a ring. A right R-module M is called quasi-principally(or semi-) injective if it is M-
principally inj ective. In this paper, we show:(1) The following are equivalent for a projective …

An R-module M is called coretractable if HomR (M/K, M)≠ 0 for any proper submodule K of
M. In this paper we study coretractable modules and their endomorphism rings. It turns out …