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

 

Maximal ideals in polynomial rings


Author: Anthony V. Geramita
Journal: Proc. Amer. Math. Soc. 41 (1973), 34-36
MSC: Primary 13B25
MathSciNet review: 0318123
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Abstract: We show that if $ R$ is a regular local ring of dimension 2 and $ A = R[X]$ then every maximal ideal of $ A$ is an ideal-theoretic complete intersection.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0318123-8
PII: S 0002-9939(1973)0318123-8
Keywords: Number of generators, polynomial rings, maximal ideals, projective modules
Article copyright: © Copyright 1973 American Mathematical Society