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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A remark on the monomial conjecture and Cohen-Macaulay canonical modules


Author: Le Thanh Nhan
Journal: Proc. Amer. Math. Soc. 134 (2006), 2785-2794
MSC (2000): Primary 13D45, 13H10
Published electronically: May 4, 2006
MathSciNet review: 2231599
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Abstract: In this paper, some sufficient conditions for rings and modules to satisfy the monomial conjecture are given. A characterization of Cohen-Macaulay canonical modules is presented.


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Additional Information

Le Thanh Nhan
Affiliation: Department of Mathematics, Thai Nguyen Pedagogical University, Thai Nguyen, Vietnam
Email: trtrnhan@yahoo.com

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08573-X
PII: S 0002-9939(06)08573-X
Keywords: Monomial conjecture, strict f-sequences, Cohen-Macaulay canonical modules
Received by editor(s): January 11, 2005
Published electronically: May 4, 2006
Additional Notes: The author is a junior associate member of ICTP, Trieste, Italy
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.