Please use this identifier to cite or link to this item: http://hdl.handle.net/10662/16418
Title: Warfield invariants in Abelian group rings
Authors: Danchev, Peter
Keywords: Funciones de cardenal a ordinal;Ulm-Kaplansky;Warfield;Cardinal to ordinal functions
Issue Date: 2005
Publisher: Universidad de Extremadura, Servicio de Publicaciones
Abstract: Let ๐‘… be a perfect commutative unital ring without zero divisors of char(๐‘…) = ๐‘ and let ๐บ be a multiplicative abelian group. Then the Warfield p-invariants of the normed unit group ๐‘‰ (๐‘…๐บ) are computed only in terms of ๐‘… and ๐บ. These cardinal-to-ordinal functions, combined with the Ulm- Kaplansky p-invariants, completely determined the structure of ๐‘‰ (๐‘…๐บ) when- ever ๐บ is a Warfield ๐‘-mixed group.
URI: http://hdl.handle.net/10662/16418
ISSN: 0213-8743
Appears in Collections:Extracta Mathematicae Vol. 20, nยบ 3 (2005)

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