… we define endomorphism rings of modules and Abelian groups which … endomorphism rings
of some important groups. Structural theorems of Beaumont and Pierce on torsion-free rings …

… In Example 4.3 we construct a mixed reduced S-local group G with endomorphism ring R
such that R is commutative pp but not von Neumann regular. In view of Theorem 2.1 (1) and (3)…

… This paper concerns the study of those abelian groups that are finitely generated over
their endomorphism rings (or, as we shall say, finitely generated groups). While a torsion …

… 84 in [F], which asks to describe abelian groups A whose endomorphism ring is Noetherian:
We set 1: a {GIG C@nA and ~A)/U ~ G for some n, m < w} and show that a self-small abelian …

… , and other groups with normal endomorphism rings. Also we consider Abelian groups in
which the square of the Lie bracket of any two endomorphisms is the zero endomorphism. It is …

… In this section, two equivalences between categories of abelian groups and categories of …
sections group always means abelian group. ot denotes the category of abelian groups, MR …

… Let A be a finite rank torsion-free abelian group and let E(A) denote the endomorphism
ring of A. Then Q ®z E(A) = QE(A) and E(A)/pE(A) are artinian algebras, where Z is the ring of …

… G whose endomorphism ring End(G) is commutative and those commutative rings which
are isomorphic to the endomorphism ring of an abelian group. Krylov et al. [KMT03] present an …

… is to study abelian groups whieh satisfy a weaker eondition. We eall the abelian group G an
EE-group if there exists an epimorphism 'P : G -+ E(G)+ from G onto the additive group of its …

… As the title indicates, we are concerned in this paper with abelian groups that are projective
… We consider now abelian groups G that are finitely generated over their endomorphism rings …