Polynomial Rings Over Goldie Rings are Often Goldie

Victor Camillo; Robert M. Guralnick

doi:10.2307/2045726

ScienceGate Book Chapters

JOURNAL ARTICLE

Polynomial Rings Over Goldie Rings are Often Goldie

Victor Camillo Robert M. Guralnick

Year: 1986 Journal: Proceedings of the American Mathematical Society Vol: 98 (4)Pages: 567-567 Publisher: American Mathematical Society

DOI: 10.2307/2045726

Get Full-Text PDF Get Analytical Report

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.

Keywords:

Polynomial ring Uncountable set Mathematics Ring (chemistry) Field (mathematics) Polynomial Pure mathematics Algebra over a field Discrete mathematics Chemistry Mathematical analysis

Metrics

Cited By

0.00

FWCI (Field Weighted Citation Impact)

Refs

0.48

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Topics

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Polynomial Rings Over Goldie Rings are Often Goldie

Abstract

Metrics

Topics

Related Documents

Polynomial rings over Goldie rings are often Goldie

Polynomial Rings over Goldie Rings

Polynomial rings over Goldie-Kerr commutative rings

Polynomial Rings Over Goldie-Kerr Commutative Rings

Polynomial rings over Goldie-Kerr commutative rings II