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Elementary reduction of matrices over Bezout ring with stable range 1 (in Ukrainian)
Journal: Matematychni Studii (Vol.37, No. 2)Publication Date: 2012-04-01
Authors : Romaniv O. M.;
Page : 132-135
Keywords : stable range; omega-Euclidean ring; Bezout ring; Hermite ring; alementary reduction of matrices; idempotent matrices;
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Abstract
We prove that a commutative Bezout ring with stable range 1 is a ring with elementary reduction of matrices and that every singular matrice over commutative Bezout ring with stable range 1 is products of idempotent matrices.
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Last modified: 2014-01-13 20:03:36