A right Bezout ring with stable range 2, over which transpose matrix to invertible matrix is invertible, is a right Hermite ring.

Publication date: 28 August 2014

Published in: Matematychni Studiï (Search for Journal in Brave)

invertible matrices Hermite rings right Bézout rings stable range conditions transpose matrix

Algebraic systems of matrices (15A30) Divisibility, noncommutative UFDs (16U30) Canonical forms, reductions, classification (15A21) Stable range conditions (19B10)

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