Add to ORKGUnder study are some conditions for the weakly regular modules to be closed under direct sums and the rings over which all modules are weakly regular. For an arbitrary right R-module M, we prove that every module in the category σ(M) is weakly regular if and only if each module in σ(M) is either semisimple or contains a nonzero M-injective submodule. We describe the normal rings over which all modules are weakly regular. © 2008 Pleiades Publishing, Ltd
summary:A weak basis of a module is a generating set of the module minimal with respect to inclusion...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U a...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if $U$ and $M/...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Given an arbitrary quasiprojective right R-module P, we prove that every module in the category σ(P)...
Given an arbitrary quasiprojective right R-module P, we prove that every module in the category σ(P)...
Given an arbitrary quasiprojective right R-module P, we prove that every module in the category σ(P)...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
The aim of the work is to develop the method of studying weakly regular rings and to study the weakl...
Abstract. Let τM be any preradical for σ[M] and N any module in σ[M]. In [2], Al-Takhman, Lomp and W...
summary:A weak basis of a module is a generating set of the module minimal with respect to inclusion...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U a...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if $U$ and $M/...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Given an arbitrary quasiprojective right R-module P, we prove that every module in the category σ(P)...
Given an arbitrary quasiprojective right R-module P, we prove that every module in the category σ(P)...
Given an arbitrary quasiprojective right R-module P, we prove that every module in the category σ(P)...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
The aim of the work is to develop the method of studying weakly regular rings and to study the weakl...
Abstract. Let τM be any preradical for σ[M] and N any module in σ[M]. In [2], Al-Takhman, Lomp and W...
summary:A weak basis of a module is a generating set of the module minimal with respect to inclusion...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U a...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if $U$ and $M/...