In this paper, we give some characterizations of modules M over a ring R such that every
submodule has a unique closure relative to a hereditary torsion theory on Mod-R by using …

Notation and terminology concerning (hereditary) torsion theories on R-mod will follow [I]. In
particular, if T is a torsion theory on R-mod then a left ideal H of R is said to be T-dense in R …

Given a hereditary torsion theory $\tau=(\mathbb {T},\mathbb {F}) $ in Mod-$ R $, a module $
M $ is called $\tau $-supplemented if every submodule $ A $ of $ M $ contains a direct …

Let $\tau $ be a given hereditary torsion theory for left R-module category R-Mod. The class
of all $\tau $-torsion left R-modules, denoted by T is closed under homomorphic images …

Let {T,.¥) be a (hereditary) torsion theory on the category MR of right R-modules for some
ring R with 1.1 have shown in [6] that the class JF of torsion-free modules is elementary …

TORSION THEORETIC GENERALIZATIONS OF SEMISIMPLE MODULES. КОРЗИНА ПОИСК
НАВИГАТОР ЖУРНАЛЫ КНИГИ ПАТЕНТЫ ПОИСК АВТОРЫ ОРГАНИЗАЦИИ КЛЮЧЕВЫЕ …

The concepts of primitive ideal and semicocritical module with respect to a torsion theory are
studied and related to the structure of torsionfree injective modules. Applications are made …

Chase has given several characterizations of a right coherent ring, among which are: every
direct product of copies of the ring is left-flat; and every finitely generated submodule of a …

This paper studies the existence and properties of a torsion-free cover with respect to a
faithful hereditary torsion theory (T, F) of modules over a ring with unity. A direct sum of a …

In [11], Varadarajan introduced the notion of strongly M-projective modules. He showed that
every B Mod R satisfying Bsg (M)-0 possesses a strong M-projective cover if and only if R/sg …