Strongly clean triangular matrices over abelian rings

  • Alexander J. Diesl
  • , Thomas J. Dorsey
  • , Wolf Iberkleid
  • , Ramiro LaFuente-Rodriguez
  • , Warren Wm McGovern

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
Pages (from-to)4889-4906
JournalJournal of Pure and Applied Algebra
Volume219
Issue number11
DOIs
StatePublished - Nov 1 2015

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