References

  1. Bass H. \(K\)-theory and stable algebra. Publ. Math. Inst. Hautes Études Sci. 1964, 22, 5–60.
  2. Bovdi V., Shchedryk V. Generating solutions of a linear equation and structure of elements of the Zelisko group. Linear Algebra Appl. 2021, 625, 55–67. doi:10.1016/j.laa.2021.04.019
  3. Bovdi V.A., Shchedryk V. Generating solutions of a linear equation and structure of elements of the Zelisko group II. Quaest. Math. 2023, 46 (9), 1789–1798. doi:10.2989/16073606.2022.2112629
  4. Helmer O. The elementary divisor theorem for certain rings without chain conditions. Bull. Amer. Math. Soc. (N.S.) 1943, 49 (2), 225–236.
  5. Kaplansky I. Elementary divisor and modules. Trans. Amer. Math. Soc. 1949, 66, 464–491.
  6. Kazimirskii P.S. A solution to the problem of separating a regular factor from a matrix polynomial. Ukrainian Math. J. 1980, 32 (4), 332–343. doi:10.1007/BF01091988
  7. Petrychkovych V. Generalized eguivalence of pairs of matrices. Linear Multilinear Algebra 2000, 48 (2), 179–188.
  8. Shchedryk V. Arithmetic of matrices over rings. Akademperiodyka, Kyiv, 2021. (in Ukrainian) doi:10.15407/akademperiodika.430.278
  9. Shchedryk V. Bezout rings of stable range 1.5. Ukrainian Math. J. 2015, 67 (6), 960–967. doi:10.1007/s11253-015-1126-9
  10. Shchedryk V. On multiplicity of canonical diagonal form of matrices. Appl. Probl. Mech. Math. 2007, 5, 77–85.
  11. Shchedryk V. Some properties of primitive matrices over Bezout B-domain. Algebra Discrete Math. 2005, 2, 46–57.
  12. Zelisko V.R. On the structure of some class of invertible matrices. Mat. Metody Phys.-Mech. Polya. 1980, 12, 14–21. (in Russian).