The matrix Lie algebra on a one-step ladder is zero product determined

2015/10/17 by Daniel Brice, Brice, Daniel
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1510.05072

arxiv created 2015/12/03 · arxiv updated 2015/12/04

Abstract

The class of matrix algebras on a ladder L generalizes the class of block upper triangular matrix algebras. It was previously shown that the matrix algebra on a ladder L is zero product determined under matrix multiplication. In this article, we show that the matrix algebra on a one-step ladder is zero product determined under the Lie bracket.

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