Warfield invariants in Abelian group algebras

• Autores: Peter V. Danchev
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 59, Fasc. 3, 2008, págs. 255-262
• Idioma: inglés
• DOI: 10.1007/bf03191186
• Enlaces
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• Resumen

  • LetF be a field of characteristicp≠0 andG an Abelian group. For each primeq and each ordinal α we calculate in terms ofG and its sections the Warfieldq-invariants W_α,q(V(FG)) of the groupV(FG) of all normalized units in the commutative group algebraFG when eitherq =p, G_t/G_p is infinite and F is perfect, orG is pmixed. Surprisingly, these invariants do not depend onF.

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