# Warfield invariants in abelian group rings.

Extracta Mathematicae (2005)

- Volume: 20, Issue: 3, page 233-241
- ISSN: 0213-8743

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topDanchev, 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 -

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