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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Endomorphism rings of reduced torsion-free modules over complete discrete valuation rings
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by Wolfgang Liebert PDF
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.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 169 (1972), 347-363
  • MSC: Primary 16A64
  • DOI: https://doi.org/10.1090/S0002-9947-1972-0306268-1
  • MathSciNet review: 0306268