Polynomial Rings Over Goldie Rings are Often Goldie

Victor Camillo; Robert Guralnick

doi:10.1090/S0002-9939-1986-0861751-0

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Polynomial Rings Over Goldie Rings are Often Goldie

Journal article

Open access

Peer reviewed

Polynomial Rings Over Goldie Rings are Often Goldie

Victor Camillo and Robert Guralnick

Proceedings of the American Mathematical Society, Vol.98(4), pp.567-568

12/01/1986

DOI: 10.1090/S0002-9939-1986-0861751-0

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Abstract

Here, we prove a result that has as a consequence the fact that if the ring R is an algebra over an uncountable field the a.c.c. on annihilators is preserved under polynomial extensions by any number of variables.

Algebra

Polynomials

Mathematical rings

Subrings

Details

Title: Subtitle: Polynomial Rings Over Goldie Rings are Often Goldie
Creators: Victor Camillo
Robert Guralnick
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.98(4), pp.567-568
DOI: 10.1090/S0002-9939-1986-0861751-0
ISSN: 0002-9939
eISSN: 1088-6826
Publisher: American Mathematical Society
Language: English
Date published: 12/01/1986
Academic Unit: Mathematics
Record Identifier: 9984240770102771

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