Since the discovery of the existence of the injective hull of an arbitrary module
independently in 1952 by Shoda and in 1953 by Eckmann and Schopf, there have been …

Let G be a mixed abelian group and let R= E (G) denote the endomorphism ring of G. This
paper investigates the problem: under which conditions is the ring R is a von Neumann …

Let G be a sp-group such that for every prime p, Gp is elementary. We show that End Z (G) is
a sp-group and every subring R of∏ End Z (G p), containing⊕ End Z (G p) is pure if and …

This paper contains a review of results on endomorphism rings of Abelian groups. On one
hand, this rapidly developing section of contemporary algebra can be considered as a part …

CATEGORIES OF MIXED AND TORSION-FREE FINITE RANK ABELIAN GROUPS I) GE 9
Definition 2 A type T = [( kp) 1 is called locally free Page 1 CATEGORIES OF MIXED AND …

Unit-regular rings have been extensively studied in the literature. In this article, we introduce
the notion of unit endoregular modules which generalizes that of unit-regular rings. A …

REGULAR AND BAER RINGS 354 Page 1 proceedings of the american mathematical society
Volume 42, Number 2, February 1974 REGULAR AND BAER RINGS KM RANGASWAMY …

It is shown that if the full ring R= E (G) of all endomorphisms of an abelian group G is left self-
injective, then G= D⊕ H, D torsionfree divisible and H is a pure fully invariant subgroup of∏ …

1. Introduction. This paper considers the case of isomorphic endomorphism rings E (G) and
E (G') of global, mixed abelian groups G and G'. Throughout, all groups are understood to be …

In this note we prove that any ring R is right cosemihereditary if and only if every finitely
cogenerated injective right R-module is d-Rickart. Let M be a module. We prove that if M is a …