A note on complete intersections-Reference-Cited by-同舟云学术

A note on complete intersections

Published:1982 Issue:1 Volume:270 Page:175-181
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bhatwadekar S. M.

Abstract

Let R R be a regular local ring and let R [ T ] R[T] be a polynomial algebra in one variable over R R . In this paper the author proves that every maximal ideal of R [ T ] R[T] is complete intersection in each of the following cases: (1) R R is a local ring of an affine algebra over an infinite perfect field, (2) R R is a power series ring over a field.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1982-270-01/S0002-9947-1982-0642336-9/S0002-9947-1982-0642336-9.pdf

Reference8 articles.

1. Lecture Notes in Mathematics, Vol. 310;Iversen, Birger,1973

2. Efficient generation of maximal ideals in polynomial rings;Davis, E. D.;Trans. Amer. Math. Soc.,1977

3. H. Lindel, On a question of Bass, Quillen and Suslin concerning projective modules over polynomial rings, preprint.

4. Projektive Moduln über polynomialen Erweiterungen von Potenzreihenalgebren;Lindel, Hartmut;Arch. Math. (Basel),1977

5. On two conjectures about polynomial rings;Kumar, N. Mohan;Invent. Math.,1978

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1. On maximal ideals in polynomial and laurent polynomial rings;Journal of Algebra;1992-06

2. On ideals in polynomial rings over localities;Communications in Algebra;1992-01

3. Strongly regular rings;Journal of Algebra;1991-02

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5. On set-theoretic intersection in affine spaces;Journal of Pure and Applied Algebra;1988-04