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Direct sums of indecomposable injective modules

Published online by Cambridge University Press:  17 April 2009

Sang Cheol Lee  and
Dong Soo Lee
Sang Cheol Lee
Affiliation:
Department of Mathematics Education, Chonbuk National University, Chonju, Chonbuk 561–756Korea e-mail: scl@moak.chonbuk.ac.kr
Dong Soo Lee
Affiliation:
Department of Mathematics, Chungnam National University, Taejon 305–764, Korea e-mail: dslee@math.chungnam.ac.kr
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Abstract

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This paper proves that every direct summand N of a direct sum of indecomposable injective submodules of a module is the sum of a direct sum of indecomposable injective submodules and a sum of indecomposable injective submodules of Z2(N).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 1 , August 2000 , pp. 57 - 66
Copyright
Copyright © Australian Mathematical Society 2000

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