An example of a Goldie ring whose matrix ring is not Goldie

DOI10.1016/0021-8693(79)90297-7zbMath0441.16014OpenAlexW2040351502MaRDI QIDQ1142822

Jeanne Wald Kerr

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90297-7

zbMATH Keywords

Goldie ringsmatrix ringGoldie's theoremascending chain of annihilatorsorder in an Artinian ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (8)

When every finitely generated flat module is projective. ⋮ Unnamed Item ⋮ On a Generalized Finite Intersection Property ⋮ The polynomial ring over a Goldie ring need not be a Goldie ring ⋮ Excellent extensions ⋮ Polynomial rings over Goldie-Kerr commutative rings II ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Polynomial Rings Over Goldie-Kerr Commutative Rings

Cites Work

• Orders in Artinian rings

This page was built for publication: An example of a Goldie ring whose matrix ring is not Goldie