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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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


Author: Wolfgang Liebert
Journal: Proc. Amer. Math. Soc. 36 (1972), 375-378
MSC: Primary 16A64; Secondary 16A04
DOI: https://doi.org/10.1090/S0002-9939-1972-0310019-X
MathSciNet review: 0310019
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Abstract: The purpose of this paper is to give necessary and sufficient conditions for an abstract ring to be isomorphic to the endomorphism ring of a reduced complete torsion-free module over a complete discrete valuation ring.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0310019-X
Keywords: Endomorphism rings, Wolfson rings, reduced complete torsion-free modules, complete discrete valuation rings, J-adic topology
Article copyright: © Copyright 1972 American Mathematical Society