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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Affine semigroup rings that are complete intersections
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by Klaus G. Fischer, Walter Morris and Jay Shapiro PDF
Proc. Amer. Math. Soc. 125 (1997), 3137-3145 Request permission

Abstract:

This paper presents a result concerning the structure of affine semigroup rings that are complete intersections. It generalizes to arbitrary dimensions earlier results for semigroups of dimension less than four. The proof depends on a decomposition theorem for mixed dominating matrices.
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Additional Information
  • Klaus G. Fischer
  • Affiliation: Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030
  • Email: kfischer@gmu.edu
  • Walter Morris
  • Affiliation: Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030
  • Email: wmorris@gmu.edu
  • Jay Shapiro
  • Affiliation: Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030
  • Email: jshapiro@gmu.edu
  • Received by editor(s): January 22, 1996
  • Received by editor(s) in revised form: May 13, 1996
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 3137-3145
  • MSC (1991): Primary 13C40; Secondary 14M10
  • DOI: https://doi.org/10.1090/S0002-9939-97-03920-8
  • MathSciNet review: 1401741