On Commutativity and Centrality in Infinite Rings

DOI10.1080/00927870601142397zbMath1120.16031OpenAlexW1972754146MaRDI QIDQ3446634

Abraham A. Klein, Alireza Abdollahi, Howard E. Bell

Publication date: 19 June 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601142397

zbMATH Keywords

commutativity theoremscentral elementscombinatorial conditions on infinite subsetscommutativity conditionsinfinite ringsconditions for belonging to the center

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

• An analogue for rings of a group problem of P. Erdős and B. H. Neumann
• Subrings of finite index in finitely generated rings
• A permutability problem in infinite groups and Ramsey's theorem
• A note on rings with central nilpotent elements

This page was built for publication: On Commutativity and Centrality in Infinite Rings