Warfield Invariants in Abelian Group Algebras
Warfield invariants in abelian group rings.
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 determine the structure of V (RG) whenever G is a Warfield p-mixed group.
Weakly periodic and subweakly periodic rings.
When is a multiplicative derivation additive?
Whitehead groups of exchange rings with primitive factors Artinian.
Wreath products in modular group algebras of some finite 2-groups.
Wreath products in the unit group of modular group algebras of 2-groups of maximal class.