Resumen de Warfield invariants in Abelian group rings

Peter V. Danchev

• 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.