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Integer Solutions of Matrix Linear Unilateral and Bilateral Equations over Quadratic Rings

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Publication:2812887
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DOI10.1007/s10958-017-3337-0zbMath1349.15046OpenAlexW2605011765MaRDI QIDQ2812887

N. B. Ladzoryshyn

Publication date: 13 June 2016

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3337-0


zbMATH Keywords

integer solutionslinear matrix equationsquadratic rings


Mathematics Subject Classification ID

Matrix equations and identities (15A24)


Related Items (1)

On the divisibility of matrices with remainder over the domain of principal ideals



Cites Work

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  • The matrix linear unilateral and bilateral equations with two variables over commutative rings
  • Polynomial and rational matrices. Applications in dynamical systems theory
  • A new algorithm for the solution of a polynomial matrix Diophantine equation
  • Cell-triangular and cell-diagonal factorizations of cell-triangular and cell-diagonal polynomial matrices
  • Linear equations over commutative rings
  • The Canonical Diophantine Equations with Applications
  • The Equations AX - YB = C and AX - XB = C in Matrices


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