Regularity and generalized invertibility in graded rings

Leonard Daus, Fred Van Oystaeyen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Let R be a ring graded by a finite group G. We study Quinn’s smash product R ˜#G * . We show that R is gr-regular if and only if R ˜#G * is regular. We also show that a homogeneous element of R has a homogeneous group inverse if and only if its corresponding element φ(r)∈R ˜#G * has a group inverse. A similar result is given for the Drazin inverse.
Original languageEnglish
Title of host publicationNew techniques in Hopf algebras and graded ring theory. Selected papers of the congress
EditorsStefaan Caenepeel, Fred Van Oystaeyen
PublisherContactforum KVAB
Publication statusPublished - 2007
EventNew techniques in Hopf algebras and graded ring theory - Brussel, Belgium
Duration: Sep 19 2006 → …

Conference

ConferenceNew techniques in Hopf algebras and graded ring theory
Period9/19/06 → …

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