… embedding of Z 2 -torsion modules of both of the rings R and R/Z … If the hereditary torsion
theory is the Goldie torsion theory … ] defined M to be U-semiperfect if for every submodule N of M …

… (See [2] for several characterizations of perfect and semi perfect rings). Torsion theories for
which every torsion module has a projective cover have been studied in [3]. In the discussion …

… an R-module is flat if and only if it is torsion-free [Corollary 3.51] (we will soon see that … We
begin with some basic ring theory. … coincide, and we will write semiperfect ring without the ad- …

… For any indecomposable idempotent e in a semiperfect ring R, eR is a local … of torsion
modules over bounded (hnp )-rings. In a series of papers, it has been seen that the structure theory …

… that this torsion theory can be extended to a U-fold torsion theory. If … 1 that the resulting U-fold
torsion theory has length 1* . … a semiperfect ring there exist only finitely many U-fold torsion …

This paper deals with questions related to the nil radical and the Jacobson radical of the
endomorphism rings of torsion-free abelian groups. The most complete results are obtained for …

… theory and module theory over integral domains to modules over non-… rings. In particular,
we investigate generalizations of torsion-freeness and characterize rings for which torsion…

… a torsion theory in Rmod and a left exact radical which we denote by t. Concerning torsion
theories … Martinez Hernandez: Semiperfect modules relative to a torsion theory. To appear in J. …

… This provides a natural generalization of the theory of … say an element x of an A-module
M is torsion if ax = 0 for … to coherent semiperfect rings; one can tell whether such a ring is …