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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

A characterization of Gorenstein rings in characteristic $\lowercase{p} (> 0)$

Author(s): S. P. Dutta
Journal: Proc. Amer. Math. Soc. 126 (1998), 1637-1643.
MSC (1991): Primary 13D02, 13H10
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Abstract: A new characterization of Gorenstein rings in characteristic $p (>0)$ is proved. It involves asymptotic behaviour of lengths of modules under the Frobenius map.


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Additional Information:

S. P. Dutta
Affiliation: Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801
Email: dutta@math.uiuc.edu

DOI: 10.1090/S0002-9939-98-04228-2
PII: S 0002-9939(98)04228-2
Received by editor(s): March 15, 1996
Received by editor(s) in revised form: November 26, 1996
Additional Notes: This research was partially supported by an NSF grant and an NSA grant.
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 1998, American Mathematical Society


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