The failure of the Artin-Rees property for the Jacobson radical in prime Noetherian rings.

DOI10.1016/J.JALGEBRA.2011.09.023zbMath1264.16022OpenAlexW2040760867MaRDI QIDQ411766

Amiram Braun, Charudatta R. Hajarnavis

Publication date: 30 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.09.023

zbMATH Keywords

Jacobson radicalKrull dimensionnoncommutative Noetherian ringstrace ringsJacobson conjectureNoetherian prime PI-ringsweak Artin-Rees property

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Jacobson radical, quasimultiplication (16N20) Noetherian rings and modules (associative rings and algebras) (16P40) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (1)

Noetherian completion and PI rings.

Cites Work

• An additivity principle for p.i. rings
• Symmetry and localization in Noetherian prime PI rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The failure of the Artin-Rees property for the Jacobson radical in prime Noetherian rings.