On idempotent stable range one matrices
Grigore Calugareanu, Horia F. Pop
TL;DR
This paper characterizes 2x2 matrices over commutative rings that are both idempotent and have stable range one, providing a comprehensive description including special cases and examples.
Contribution
It offers a complete characterization of idempotent stable range one matrices over commutative rings, especially integral matrices, which was not previously established.
Findings
Characterization of idempotent stable range one 2x2 matrices over commutative rings
Identification of special cases and examples
Extension to integral matrices with this property
Abstract
We characterize the idempotent stable range one matrices over commutative rings and in particular, the integral matrices with this property. Several special cases and examples complete the subject.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Advanced Algebra and Logic