Strongly clean matrix rings over commutative local rings
By Gautam Borooah, A. Diesl, Thomas J. Dorsey. 2008
57 citations recorded by the source corpus.
We will completely characterize the commutative local rings for which Mn(R) is strongly clean, in terms of factorization in R[t]. We also obtain similar elementwise results which show additionally that for any monic polynomial f∈R[t], the strong cleanness of the companion matrix of f is equivalent to the strong cleanness of all matrices with characteristic polynomial f.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/5c39145eafffb79ab9db1b710d8cedc33305575e
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- On Strongly J-Clean Rings (2010, background): “(1) R is a uniquely clean ring; (2) R is a strongly J -clean with all idempotents central; (3) Every homomorphic image of R is a uniquely clean ring.”