Lifting to non-integral idempotents

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Lifting to non-integral idempotents. / Robinson, Geoffrey.

In: Journal of Pure and Applied Algebra, Vol. 162, No. 2-3, 24.08.2001, p. 359-366.

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@article{a4628a1a3f9e449aaf86df9042b5a932,
title = "Lifting to non-integral idempotents",
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.",
author = "Geoffrey Robinson",
year = "2001",
month = aug,
day = "24",
doi = "10.1016/S0022-4049(00)00119-5",
language = "English",
volume = "162",
pages = "359--366",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier",
number = "2-3",

}

RIS

TY - JOUR

T1 - Lifting to non-integral idempotents

AU - Robinson, Geoffrey

PY - 2001/8/24

Y1 - 2001/8/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0042404951&partnerID=8YFLogxK

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

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

M3 - Article

VL - 162

SP - 359

EP - 366

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 2-3

ER -