Strongly clean matrices over commutative domains. (English) Zbl 1297.16025
Summary: We get criteria of strong cleanness for several classes of \(2\times 2\) matrices over integers. For commutative local domains, we establish ones in terms of solvability of quadratic equations. Strongly clean matrices over power series are also studied.
MSC:
| 16S50 | Endomorphism rings; matrix rings |
| 16U60 | Units, groups of units (associative rings and algebras) |
| 16E50 | von Neumann regular rings and generalizations (associative algebraic aspects) |
| 15B36 | Matrices of integers |
References:
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