Algebras in which non-scalar elements have small centralizers

Author: Brešar Matej  

Publisher: Taylor & Francis Ltd

E-ISSN: 1563-5139|63|9|1864-1871

ISSN: 0308-1087

Source: Linear and Multilinear Algebra, Vol.63, Iss.9, 2015-09, pp. : 1864-1871

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Abstract

We describe algebras in which the centralizer of every non-scalar element is equal to the subalgebra generated by this element, and finite-dimensional algebras (over perfect fields) in which the centralizer of every non-scalar element is commutative.