Proceedings of the American Mathematical Society

Author(s): K. Khashyarmanesh; Sh. Salarian
Journal: Proc. Amer. Math. Soc. 131 (2003), 2329-2335.
MSC (2000): Primary 13C11, 13H10
Posted: January 28, 2003
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Abstract: Let

be a commutative Noetherian ring with nonzero identity and let the injective envelope of

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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13C11, 13H10

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

DOI: 10.1090/S0002-9939-03-06829-1
PII: S 0002-9939(03)06829-1
Keywords: Injective envelope, flat cover, injective cover, Gorenstein ring, Gorenstein injective module
Received by editor(s): May 11, 2001
Received by editor(s) in revised form: March 26, 2002
Posted: January 28, 2003
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 2003, American Mathematical Society

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