Constructions in algebra-Reference-Cited by-同舟云学术

Constructions in algebra

Published:1974 Issue:0 Volume:197 Page:273-313
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Seidenberg A.

Abstract

It is shown how to construct a primary decomposition and to find the associated prime ideals of a given ideal in a polynomial ring. This is first done from a classical, and then from a strictly constructivist, point of view.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1974-197-00/S0002-9947-1974-0349648-2/S0002-9947-1974-0349648-2.pdf

Reference13 articles.

1. Die Frage der endlich vielen Schritte in der Theorie der Polynomideale;Hermann, Grete;Math. Ann.,1926

2. Parameterspezialisierung in Polynomringen;Krull, Wolfgang;Arch. Math.,1948

3. Parameterspezialisierung in Polynomringen. II. Das Grundpolynom;Krull, Wolfgang;Arch. Math. (Basel),1948

4. The hyperplane sections of normal varieties;Seidenberg, A.;Trans. Amer. Math. Soc.,1950

5. Construction of the integral closure of a finite integral domain;Seidenberg, Abraham;Rend. Sem. Mat. Fis. Milano,1970

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