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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

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


Author: Wolfgang Liebert
Journal: Trans. Amer. Math. Soc. 169 (1972), 347-363
MSC: Primary 16A64
MathSciNet review: 0306268
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0306268-1
PII: S 0002-9947(1972)0306268-1
Keywords: Complete discrete valuation ring, reduced torsion-free module, endomorphism ring, finite endomorphisms, Jacobson radical, sum of all minimal nonradical right (left) ideals, finite topology and $ J$-finite topology on endomorphism rings
Article copyright: © Copyright 1972 American Mathematical Society