Title of article
Continuous modules are clean
Author/Authors
V.P. Camillo، نويسنده , , D. Khurana، نويسنده , , T.Y. Lam، نويسنده , , W.K. Nicholson، نويسنده , , Y. Zhou، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
18
From page
94
To page
111
Abstract
A ring R is said to be clean if every element of R is a sum of an idempotent and a unit. The class of clean rings is quite large and includes, for instance, semiperfect rings (and thus finite rings), and rings of linear transformations of vector spaces. We prove that the endomorphism ring of every continuous (or discrete) module is clean.
Keywords
Continuous and discrete modules , Clean endomorphism rings
Journal title
Journal of Algebra
Serial Year
2006
Journal title
Journal of Algebra
Record number
697683
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