Warfield invariants in Abelian group rings

• Autores: Peter V. Danchev
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 20, Nº 3, 2005, págs. 233-242
• Idioma: inglés
• Títulos paralelos:
  • Invariantes de Warfield en anillos de grupos abelianos
• Enlaces
  • Texto completo  1    2 (pdf) 
• Resumen

  • Let R be a perfect commutative unital ring without zero divisors of char(R) = p and let G be a multiplicative abelian group. Then the Warfield p-invariants of the normed unit group V (RG) are computed only in terms of R and G. These cardinal-to-ordinal functions, combined with the Ulm- Kaplansky p-invariants, completely determined the structure of V (RG) whenever G is a Warfield p-mixed group.