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Advances in Pure and Applied Mathematics

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Warfield invariants of normed unit groups in abelian group rings

Peter Danchev
  • Mathematics and Informatics Department, Plovdiv State University, 4000 Plovdiv, Bulgaria
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Published Online: 2012-01-19 | DOI: https://doi.org/10.1515/apam.2011.007

Abstract.

Suppose G is an abelian group and R is a commutative ring with identity of prime characteristic p. In some special cases for R and G we compute only in their terms and sections the Warfield p-invariants of the normed unit group VR[G] in a commutative group ring R[G]. This supplies our recent results in this way.

Keywords.: Groups; rings; fields; units; idempotents; Warfield invariants; cardinalities

About the article

Received: 2010-10-18

Accepted: 2011-03-22

Published Online: 2012-01-19

Published in Print: 2012-01-01


Citation Information: Advances in Pure and Applied Mathematics, ISSN (Online) 1869-6090, ISSN (Print) 1867-1152, DOI: https://doi.org/10.1515/apam.2011.007. Export Citation

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