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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the rings whose injective hulls are flat
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by K. Khashyarmanesh and Sh. Salarian PDF
Proc. Amer. Math. Soc. 131 (2003), 2329-2335 Request permission

Abstract:

Let $R$ be a commutative Noetherian ring with nonzero identity and let the injective envelope of $R$ be flat. We characterize these kinds of rings and obtain some results about modules with nonzero injective cover over these rings.
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Additional Information
  • K. Khashyarmanesh
  • Affiliation: Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran – and – Department of Mathematics, Damghan University, P.O. Box 36715-364, Damghan, Iran
  • Email: khashyar@mail.ipm.ir
  • Sh. Salarian
  • Affiliation: Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran – and – Department of Mathematics, Damghan University, P.O. Box 36715-364, Damghan, Iran
  • Received by editor(s): May 11, 2001
  • Received by editor(s) in revised form: March 26, 2002
  • Published electronically: January 28, 2003
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 2329-2335
  • MSC (2000): Primary 13C11, 13H10
  • DOI: https://doi.org/10.1090/S0002-9939-03-06829-1
  • MathSciNet review: 1974629