Now showing items 1-5 of 5
On Dual Baer Modules
(Cambridge Univ Press, 2010)
In this paper we introduce T-non-cosingular modules, dual Baer modules and K-modules. We prove that a module M is lifting and T-non-cosingular if and only if it is a dual Baer and K-module. Rings for which all modules are ...
On Rad-D-12 Modules
(Ovidius Univ Press, 2013)
Let M be a right R-module. We call M Rad-D-12, if for every submodule N of M, there exist a direct summand K of M and an epimorphism alpha : K -> M/N such that Ker alpha subset of Rad(K). We show that a direct summand of ...
Rings Whose Pure-Injective Right Modules Are Direct Sums Of Lifting Modules
(Academic Press Inc Elsevier Science, 2013)
It is shown that every pure-injective right module over a ring R is a direct sum of lifting modules if and only if R is a ring of finite representation type and right local type. In particular, we deduce that every left ...
(Rocky Mt Math Consortium, 2013)
is known that a direct summand of a (D-12)module need not be a (D-12)-module. In this paper we establish some properties of completely (D-12)-modules (modules for which every direct summand is a (D-12)-module). After giving ...
Pseudo Projective Modules Which are not Quasi Projective and Quivers
(Mathematical Soc Rep China, 2018)
In this paper we construct pseudo projective modules which are not quasi projective over non-commutative perfect rings. To do it we construct finite dimensional quiver algebras over the field Z(2). The modules which are ...