(z,k)-equivalence of matrices over Euclidean quadratic rings and solutions of matrix equation AX+YB=C.

Authors

  • N. Ladzoryshyn Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine, Lviv, Ukraine
  • V. Petrychkovych

Keywords:

Quadratic ring, (z, k)-equivalence of matrices, matrix equation

Abstract

(z,k)-equivalence of matrices over Euclidean quadratic rings and solutions of matrix equation AX+YB=C.

References

H. Hasse, Number theory, Classics in Mathematics, Springer-Verlag, New York-Berlin, 1980.

N. Ladzoryshyn, V. Petrychkovych, Equivalence of pairs of matrices with relatively prime determinants over quadratic rings of principal ideals, Bul. Acad. Stiinte Repub. Mold. Mat. 3 (2014), 38–48.

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