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On the upper nilradical and Jacobson radical of rings graded by t.u.p.-semigroups

Published 12 Apr 2015 in math.RA | (1504.03011v2)

Abstract: Given a t.u.p.-semigroup (two unique product semigroup) $X$, we show if $R$ is an $X$-graded ring then both its nilradical and Jacobson radical are homogeneous. This partially answers questions of Smoktunowicz and Jespers.

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Authors (1)

  1. Blake W. Madill 

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