1609.04609.pdf (113.45 kB)
Maximal zero product subrings and inner ideals of simple rings
report
posted on 2017-08-18, 09:54 authored by Alexander Baranov, Antonio Fernández LópezLet 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.