Introduction. The problem considered is a special case of the general problem of the extent
to which a module (F, A) is determined by its endomorphism ring E (F, A). We restrict our …

The problem considered here is a special case of the general problem of the ex-tent to
which a module (F, A) is determined by its endomorphism ring E (F, A). We consider the …

Let (F, A) and (G, B) be vector spaces over division rings F and G, and E (F, A) and E (G, B)
the corresponding endomorphism rings. Baer in [2] showed that E (F, A) and E (G, B) are anti …

But, for each S (1-e) iii A, E (A)'ci S (1-e) f E (A)'ci A and hence E (A)= S (1-e) f E (A) ci S (1-e)
by the injectivity of S (1-e) n E (A). Therefore A= E (A)= Sf for some f= f 2 E S. Lemma 3.(J …

Anti-isomorphisms of the endomorphism rings of torsion-free modules Page 1 GEWIRTZMAN,
L. Math, Zeitschr. 98, 391--400 (1967) Anti-isomorphisms of the Endomorphism Rings of …

Abstract A right R-module M is said to be finendo provided that as a left module over its
endomorphism ring it is finitely generated. Let B= End MR. Then B n→ M→ 0 is exact for …

1. It has been shown by Feller and Swokowski [I] that if R is an integral domain which has a
right and left quotient ring, then the endomorphism ring E (M) of a finitely generated torsion …

EPIMORPHISMS OF MODULES WHICH MUST BE ISOMORPHISMS Page 1 Canad. Math.
Bull. Vol. 16 (4), 1973 EPIMORPHISMS OF MODULES WHICH MUST BE ISOMORPHISMS BY …

Self-injective rings and endomorphisms of free modules Page 1 SELF-INJECTIVE RINGS OF
FREE MODULES VI Gemintern AND ENDOMORPHISMS UDC 512.4 It is shown that the ring of …

One of the fundamental problems on endomorphism rings is to find necessary and sufficient
conditions that an abstract ring be isomorphic to the endomorphism ring of a given type of …