Finite rings in which commutativity is transitive.

DOI10.1007/s00605-009-0142-yzbMath1218.16009OpenAlexW2120805302MaRDI QIDQ629861

David Dolžan, Igor Klep, Primož Moravec

Publication date: 10 March 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0142-y

zbMATH Keywords

direct sumslocal ringsfinite ringsbasic ringstransitive commutativityweakly commutative transitive rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Generalizations of commutativity (associative rings and algebras) (16U80) Noncommutative local and semilocal rings, perfect rings (16L30) Jacobson radical, quasimultiplication (16N20)

Related Items (1)

Algebras in which non-scalar elements have small centralizers

Cites Work

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• Groups in which commutativity is a transitive relation
• Solvability of groups of odd order
• Extremely noncommutative elements in rings.
• Non-commuting graph of a group.
• Zentralisatorverbände endlicher Gruppen
• Lie Algebras with Abelian Centralizers
• The Nonexistence of a Certain Type of Simple Groups of Odd Order
• p -Groups with Abelian Centralizers
• CENTRALIZERS IN DOMAINS OF GELFAND–KIRILLOV DIMENSION 2
• Centralizers in Free Associative Algebras

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