Lifting to non-integral idempotents

Geoffrey Raymond Robinson

doi:10.1016/S0022-4049(00)00119-5

Lifting to non-integral idempotents

Geoffrey Raymond Robinson

Mathematical Science

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In the first section of this paper, we illustrate (for a finite group G and the field of fractions of a suitable complete dvr R) how to produce all central idempotents of 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.

Original language	English
Pages (from-to)	359-366
Number of pages	7
Journal	Journal of Pure and Applied Algebra
Volume	162
Issue number	2-3
DOIs	https://doi.org/10.1016/S0022-4049(00)00119-5
Publication status	Published - 24 Aug 2001

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abstract = "In the first section of this paper, we illustrate (for a finite group G and the field of fractions of a suitable complete dvr R) how to produce all central idempotents of 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.",

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AB - In the first section of this paper, we illustrate (for a finite group G and the field of fractions of a suitable complete dvr R) how to produce all central idempotents of 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.

U2 - 10.1016/S0022-4049(00)00119-5

DO - 10.1016/S0022-4049(00)00119-5

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JO - Journal of Pure and Applied Algebra

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