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

 

Affine semigroup rings
that are complete intersections


Authors: Klaus G. Fischer, Walter Morris and Jay Shapiro
Journal: Proc. Amer. Math. Soc. 125 (1997), 3137-3145
MSC (1991): Primary 13C40; Secondary 14M10
MathSciNet review: 1401741
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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

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03920-8
PII: S 0002-9939(97)03920-8
Received by editor(s): January 22, 1996
Received by editor(s) in revised form: May 13, 1996
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1997 American Mathematical Society