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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 residue map and its applications to some one-dimensional rings


Author: I-Chiau Huang
Journal: Proc. Amer. Math. Soc. 123 (1995), 2369-2372
MSC: Primary 13H10
MathSciNet review: 1254843
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Abstract: A residue map is used to study canonical modules of the ring $ k[[{X^{{t_1}}}, \ldots ,{X^{{t_n}}}]]$. A simple proof of a well-known numerical criterion for $ k[[{X^{{t_1}}}, \ldots ,{X^{{t_n}}}]]$ to be Gorenstein is given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1254843-3
PII: S 0002-9939(1995)1254843-3
Keywords: Canonical module, dualizing complex, Gorenstein ring, residue
Article copyright: © Copyright 1995 American Mathematical Society