Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603735 | Linear Algebra and its Applications | 2007 | 11 Pages |
Abstract
A ring R with identity is called strongly clean if every element of R is the sum of an idempotent and a unit that commute with each other. For a commutative local ring R and for an arbitrary integer n⩾2, the paper deals with the question whether the strongly clean property of Mn(R[[x]]), , and Mn(RC2) follows from the strongly clean property of Mn(R). This is ‘Yes’ if n=2 by a known result.
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Physical Sciences and Engineering
Mathematics
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