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http://hdl.handle.net/10662/14018
| Title: | Trivial units in abelian group algebras |
| Authors: | Danchev, Peter |
| Keywords: | Álgebras de grupos;Grupos;Anillos;Unidades normalizadas;Unidades triviales;Unidades idempotentes,;Idempotentes;Nilpotentes;Elementos de torsión;Group algebras;Groups;Rings;Normalized units;Trivial units;Idempotent units;Idempotents;Nilpotents;Torsion elements |
| Issue Date: | 2009 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | We find a necessary and sufficient condition when all units in arbitrary abelian group algebras are trivial by reducing it to the torsion case. This is a supplement to our recent results in (Extracta Math., 2008). In particular, we extend theorems due to RitterSehgal (Math. Proc. Royal Irish Acad., 2005) and Herman-Li (Proc. Amer. Math. Soc., 2006). |
| URI: | http://hdl.handle.net/10662/14018 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 24, nº 1 (2009) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_24_1_47.pdf | 130,26 kB | Adobe PDF | View/Open |
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