Endomorphism rings of reduced torsion-free modules over complete discrete valuation rings

Liebert, Wolfgang

doi:10.1090/S0002-9947-1972-0306268-1

Endomorphism rings of reduced torsion-free modules over complete discrete valuation rings
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Trans. Amer. Math. Soc. 169 (1972), 347-363 Request permission

Abstract:

The purpose of this paper is to find necessary and sufficient conditions that an abstract ring be isomorphic to the ring of all endomorphisms of a reduced torsion-free module over a (possibly noncommutative) complete discrete valuation ring.

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