Now showing items 1-6 of 6
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 ...
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 ...
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 ...
(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 ...
On T-Noncosingular Modules
(Cambridge Univ Press, 2009)
In this paper we introduce T-noncosingular modules. Rings for which all right modules are T-noncosingular are shown to be precisely those for which every simple right module is injective. Moreover, for any ring R we show ...
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 ...