On the upper nilradical and Jacobson radical of rings graded by t.u.p.-semigroups
arXiv:1504.03011
Abstract
Given a t.u.p.-semigroup (two unique product semigroup) , we show if is an -graded ring then both its nilradical and Jacobson radical are homogeneous. This partially answers questions of Smoktunowicz and Jespers.
Paper withdrawn. Error in Lemma 4.1