Abstract
We investigate the problem of determining when a triangular matrix ring over a strongly clean ring is, itself, strongly clean. We prove that, if R is a commutative clean ring, then Tn(R) is strongly clean for every positive n. In the more general case that R is an abelian clean ring, we provide sufficient conditions which imply that Tn(R) is strongly clean. We end with a brief consideration of the non-abelian case.
| Original language | American English |
|---|---|
| Pages (from-to) | 4889-4906 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 219 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 1 2015 |
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