Algebras in which non-scalar elements have small centralizers

DOI10.1080/03081087.2014.977842zbMath1335.16012OpenAlexW2054495772MaRDI QIDQ2943853

Matej Brešar

Publication date: 4 September 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2014.977842

zbMATH Keywords

finite-dimensional algebrascentralizersdivision algebrassmall-centralizer properties

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Generalizations of commutativity (associative rings and algebras) (16U80) Commutativity of matrices (15A27) Finite-dimensional division rings (16K20) Other algebras built from modules (15A78)

Cites Work

• Finite rings in which commutativity is transitive.
• Extremely noncommutative elements in rings.
• Lie Algebras with Abelian Centralizers
• GROUPS IN WHICH EVERY NON-CYCLIC SUBGROUP CONTAINS ITS CENTRALIZER
• Commutative Subalgebras of Infinite Dimensional Algebras

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