Maximal zero product subrings and inner ideals of simple rings
Rings and Algebras
2019-08-08 v2
Abstract
Let Q be a (non-unital) simple ring. A nonempty subset S of Q is said to have zero product if S^2=0. We classify all maximal zero product subsets of Q. We also describe the relationship between the maximal zero product subsets of Q and the maximal inner ideals of its associated Lie algebra.
Cite
@article{arxiv.1609.04609,
title = {Maximal zero product subrings and inner ideals of simple rings},
author = {Alexander Baranov and Antonio Fernández López},
journal= {arXiv preprint arXiv:1609.04609},
year = {2019}
}
Comments
to appear in J.Algebra