A residue map and its applications to some one-dimensional rings

Huang, I-Chiau

doi:10.1090/S0002-9939-1995-1254843-3

A residue map and its applications to some one-dimensional rings
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by I-Chiau Huang

Proc. Amer. Math. Soc. 123 (1995), 2369-2372

DOI: https://doi.org/10.1090/S0002-9939-1995-1254843-3

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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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