Gel'fand-Kirillov dimension can go up in extension modules

DOI10.1080/00927878108822667zbMath0466.16023OpenAlexW1981337626MaRDI QIDQ3918260

George M. Bergman

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822667

zbMATH Keywords

Gel'fand-Kirillov dimensionfinitely generated left modulemodule extension

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Centralizing and normalizing extensions (16S20)

Related Items

Gel’fand-kirillov dimensions of factor rings ⋮ Gelfand-Kirillov dimension under base field extension ⋮ Affine pi-rings have gabriel dimension ⋮ Unnamed Item ⋮ Sur le principe d' additivite du rang pour des bimodules

Cites Work

• The diamond lemma for ring theory
• An additivity principle for Goldie rank