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 …

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-
Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian …

The goal of this work is to develop a functional transfer of properties between a module A
and the category* M* E of right modules over its endomorphism ring* E that is more sensitive …

The paper contains Parts 1, 2, 3, and 4 of a review of the authors on endomorphism rings of
Abelian groups. Most of the results are given with proofs. Part 1 contains some general …

We use a variation on a construction due to Corner 1965 to construct (Abelian) groups A that
are torsion as modules over the ring End (A) of group endomorphisms of A. Some …

This work is the second half of a review on endomorphism rings of Abelian groups; it
contains Parts 5, 6, and 7 of this review (Secs. 24–44). Parts 1–4 of this review are being …

Let R be an associative ring with identity, fix a right R-module A, and let E= End R (A) be he
ring of R-module endomorphisms of A. View as an ER-bimodule, and let MT denote the …

It is well known that projective modules P are characterized by the property that each
surjection M→ P of modules splits. For arbitrary modules A one can ask for conditions under …