Warfield invariants in abelian group rings.

Danchev, Peter V.. "Warfield invariants in abelian group rings.." Extracta Mathematicae 20.3 (2005): 233-241. <http://eudml.org/doc/41839>.

@article{Danchev2005,
abstract = {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.},
author = {Danchev, Peter V.},
journal = {Extracta Mathematicae},
keywords = {Anillos de grupos; Grupos abelianos; Invariantes; Warfield invariants; commutative modular group algebras; groups of normalized units},
language = {eng},
number = {3},
pages = {233-241},
title = {Warfield invariants in abelian group rings.},
url = {http://eudml.org/doc/41839},
volume = {20},
year = {2005},
}

TY - JOUR
AU - Danchev, Peter V.
TI - Warfield invariants in abelian group rings.
JO - Extracta Mathematicae
PY - 2005
VL - 20
IS - 3
SP - 233
EP - 241
AB - 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.
LA - eng
KW - Anillos de grupos; Grupos abelianos; Invariantes; Warfield invariants; commutative modular group algebras; groups of normalized units
UR - http://eudml.org/doc/41839
ER -