On the rings whose injective hulls are flat
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- by K. Khashyarmanesh and Sh. Salarian
- Proc. Amer. Math. Soc. 131 (2003), 2329-2335
- DOI: https://doi.org/10.1090/S0002-9939-03-06829-1
- Published electronically: January 28, 2003
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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.References
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Bibliographic 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