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 language | English |
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| Title of host publication | New techniques in Hopf algebras and graded ring theory. Selected papers of the congress |
| Editors | Stefaan Caenepeel, Fred Van Oystaeyen |
| Publisher | Contactforum KVAB |
| Publication status | Published - 2007 |
| Event | New techniques in Hopf algebras and graded ring theory - Brussel, Belgium Duration: Sept 19 2006 → … |
Conference
| Conference | New techniques in Hopf algebras and graded ring theory |
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| Period | 9/19/06 → … |