Warfield Invariants of $V(RG)/G$

Authors

  • Peter V. Danchev

DOI:

https://doi.org/10.1285/i15900932v29n2p213

Keywords:

Warfield p-invariants, nice subgroups, cardinalities, inequalities, idempotents.

Abstract

Let $R$ be a commutativeunitary ring of prime characteristic $p$ and let $G$ be an Abelian group. We calculateonly in terms of $R$ and $G$ (and their sections)Warfield $p$-invariants of thequotient group $V(RG)/G$, that is, the group of all normalized units $V(RG)$ in the groupring $RG$ modulo $G$. This supplies recent results of ours in (Extr. Math., 2005),(Collect. Math., 2008) and (J. Algebra Appl., 2008).

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Published

03-06-2010

Issue

Volume 29, Issue 2 (2009)

Section

Articoli

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