Algebras in which non-scalar elements have small centralizers

作者：Bresar Matej^*

来源：Linear and Multilinear Algebra, 2015, 63(9): 1864-1871.

DOI：10.1080/03081087.2014.977842

• division algebra
• centralizer
• weakly transitive algebra
• finite-dimensional algebra
• 15A78
• 16P10
• 15A27
• 16N40
• 16K20

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.

• 出版日期2015-9-2