Some remarks on growth of algebras over commutative noetherian rings

DOI10.1080/00927879608825587zbMath0847.16014OpenAlexW2008777108MaRDI QIDQ4874704

R. A. Beaulieu, Anders Jensen, Søren Jøndrup

Publication date: 6 June 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825587

zbMATH Keywords

prime idealsclassical Krull dimensiongrowth of algebrasalgebras over commutative ringsaffine subalgebrasaffine Noetherian PI-algebrasgeneralized Gelfand-Kirillov dimension

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Prime ideals in PI-rings
• Prime ideals in finite extensions of Noetherian rings
• Liberal Extensions
• Affine algebras of Gelfand-Kirillov dimension one are PI
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some remarks on growth of algebras over commutative noetherian rings