Residues for Akizuki’s one-dimensional local domain

Huang, I-Chiau; Lin, Jan-Li

doi:10.1090/S0002-9939-02-06827-2

Residues for Akizuki’s one-dimensional local domain
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by I-Chiau Huang and Jan-Li Lin PDF

Proc. Amer. Math. Soc. 131 (2003), 2015-2020 Request permission

Abstract:

For a one-dimensional local domain $C_M$ constructed by Akizuki, we find residue maps which give rise to a local duality. The completion of $C_M$ is described using these residue maps.

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