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Elementary reduction of matrices over Bezout ring with stable range 1 (in Ukrainian) |
| Author |
O. M. Romaniv
oromaniv@franko.lviv.ua
Ivan Franko National University of Lviv
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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. |
| Keywords |
stable range; omega-Euclidean ring; Bezout ring; Hermite ring; alementary reduction of matrices;
idempotent matrices |
| Reference |
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– 1971. – V.5. – P. 102–110.
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Univ., Ser. Mekh.-Mat. – 1998. – V.49. – P. 16–20. (in Ukrainian)
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Applications. – V.430, ¹10. – P. 2690–2695.
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| Pages |
132-135 |
| Volume |
37 |
| Issue |
2 |
| Year |
2012 |
Journal |
Matematychni Studii |
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