Ara
Toplam kayıt 5, listelenen: 1-5
On (D-12)-Modules
(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 Hollow-Lifting Modules
(Mathematical Soc Rep China, 2007)
Let R be any ring and let M be any right R-module. M is called hollow-lifting if every submodule N of M such that M/N is hollow has a coessential submodule that is a direct summand of M. We prove that every amply supplemented ...
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 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 ...
Some Rings For Which The Cosingular Submodule Of Every Module Is A Direct Summand
(Scientific Technical Research Council Turkey-Tubitak, 2014)
The snbmodule (Z)overbar(M) = boolean AND{N vertical bar M/N is small in its injective hull} was introduced by Talebi and Vanaja in 2002. A ring R is said to have property (P) if (Z)overbar(M) is a direct summand of M for ...