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Proceedings of the American Mathematical Society

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



Primary modules determined by indecomposable idempotent endomorphisms.

Author: Robert W. Stringall
Journal: Proc. Amer. Math. Soc. 31 (1972), 54-56
MathSciNet review: 0285608
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Abstract: A faithful primary module over a complete discrete valuation ring is determined up to isomorphism by any subring of the endomorphism ring of the module which contains all the indecomposable indempotent endomorphisms.

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Keywords: Faithful primary modules over complete discrete valuation rings, subring generated by idempotent endomorphisms, subring generated by automorphisms
Article copyright: © Copyright 1972 American Mathematical Society