Trivial units in abelian group algebras

Autores: Peter V. Danchev
Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 24, Nº 1, 2009, págs. 47-53
Idioma: inglés
Enlaces
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Resumen
- We ¯nd a necessary and su±cient 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 Ritter- Sehgal (Math. Proc. Royal Irish Acad., 2005) and Herman-Li (Proc. Amer. Math. Soc., 2006).