Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ADM_2020_29_2_a11, author = {B. Zabavsky and A. Romaniv and T. Kysil}, title = {Elementary reduction of matrices over rings of~almost stable range~$1$}, journal = {Algebra and discrete mathematics}, pages = {271--276}, publisher = {mathdoc}, volume = {29}, number = {2}, year = {2020}, language = {en}, url = {http://geodesic.mathdoc.fr/item/ADM_2020_29_2_a11/} }
TY - JOUR AU - B. Zabavsky AU - A. Romaniv AU - T. Kysil TI - Elementary reduction of matrices over rings of~almost stable range~$1$ JO - Algebra and discrete mathematics PY - 2020 SP - 271 EP - 276 VL - 29 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2020_29_2_a11/ LA - en ID - ADM_2020_29_2_a11 ER -
B. Zabavsky; A. Romaniv; T. Kysil. Elementary reduction of matrices over rings of~almost stable range~$1$. Algebra and discrete mathematics, Tome 29 (2020) no. 2, pp. 271-276. http://geodesic.mathdoc.fr/item/ADM_2020_29_2_a11/
[1] Kaplansky I., “Elementary divisors and modules”, Trans. Amer. Math. Soc., 166 (1966), 464–491 | MR
[2] Shchedryk V., “Bezout Rings of Stable Range 1.5”, Ukrainian Math. J., 67:6 (2015), 960–974 | DOI | MR | Zbl
[3] Zabavsky B., “Reduction of matrices over right Bezout rings with finite stable rank”, Matematychni Studii, 16:2 (2001), 115–116 | MR | Zbl
[4] Zabavsky B., Diagonal reduction of matrices over rings, Mathematical Studies, XVI, VNTL Publishers, 2012, 249 pp. | MR | Zbl
[5] McGovern W., “Bezout rings with almost stable range 1 are elementary divisor rings”, J. Pure and Appl. Algebra, 212 (2007), 340–348 | DOI | MR
[6] Anderson D., Juett J., “Stable range and almost stable range”, J. Pure and Appl. Algebra, 216 (2012), 2094–2097 | DOI | MR | Zbl