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Matematychni Studii 2012
Elementary reduction of matrices over Bezout ring with stable range 1 (in Ukrainian)Keywords: stable range , omega-Euclidean ring , Bezout ring , Hermite ring , alementary reduction of matrices , idempotent matrices 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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