Motivated by the work of Baer [1], Kaplansky gave a proof in 1954 that any isomorphism of
the endomorphism algebras of two torsion modules over a complete discrete valuation …

In a remarkable paper [1] some twenty years ago, Corner showed that every countable
reduced torsion-free ring is the endomorphism ring of a countable reduced torsion-free …

This paper considers the local case of modules over a fixed but arbitrary discrete valuation
ring R. Throughout, p denotes a fixed prime element of R and all modules are unitary R …

Introduction. In [7] and [8] we have determined the isomorphisms of the endomorphism rings
of two special classes of torsion-free modules. In [7] the modules were free, over principal …

It is well-known that every algebra automorphism of the algebra of linear endomorphisms of
a vector space is inner. In 1943, R. Baer proved a theorem that included, as special cases …

Let (R, M) denote the unitary left module M over the ring R, and let E (R, M) denote the ring
of all R endomorphisms of M. The purpose of this note is to show that the technique used by …

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 …

The main results are contained in Theorems 7 and 10 and are as follows: If M and N are
separable, torsion-free R-modules over a valuation domain R such that M is homogeneous …

Full article: Torsion-Free Modules with Nearly Unique Endomorphism Algebras Skip to Main
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ENDOMORPHISM RINGS OF REDUCED TORSION-FREE MODULES OVER COMPLETE
DISCRETE VALUATION RINGS Page 1 TRANSACTIONS OF THE AMERICAN …