Lifting to non-integral idempotents

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Abstract

In the first section of this paper, we illustrate (for a finite group G and the field of fractions K of a suitable complete dvr R) how to produce all central idempotents of Z(KG) from knowledge of the images of Z(RG) modulo certain powers of J(R). In the second section, we outline another approach to lifting elements closely related to idempotents in more general rings, which may be of wider interest. (C) 2001 Elsevier Science B.V. All rights reserved.

Details

Original languageEnglish
Pages (from-to)359-366
Number of pages8
JournalJournal of Pure and Applied Algebra
Volume162
Issue number2-3
Publication statusPublished - 24 Aug 2001