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

DOI10.1007/s10958-019-04524-2zbMath1437.15022OpenAlexW2977563468WikidataQ127173173 ScholiaQ127173173MaRDI QIDQ2307935

Volodymyr M. Prokip

Publication date: 25 March 2020

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

Full work available at URL: https://doi.org/10.1007/s10958-019-04524-2

zbMATH Keywords

Sylvester-type matrix equationdivisibility of matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Principal ideal rings (13F10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial and rational matrices. Applications in dynamical systems theory
• Euclidean algorithm in matrix modules over a given Euclidean ring
• On the uniqueness of the minimal solution to the matrix polynomial equation \(A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda)\)
• Roth's theorems over commutative rings
• On solutions of generalized Sylvester equation in polynomial matrices
• Similarity of block diagonal and block triangular matrices
• On the solvability of a system of linear equations over the domain of principal ideals
• On some Euclidean properties of matrix algebras
• About the uniqueness solution of the matrix polynomial equation \(A(\lambda)X(\lambda)-Y(\lambda)B(\lambda)=C(\lambda)\)
• On a class of matrix polynomial equations
• Integer Solutions of Matrix Linear Unilateral and Bilateral Equations over Quadratic Rings
• Equivalence of partitioned matrices
• The Smith normal form of a partitioned matrix
• Rings with transfinite left division algorithm
• Euclidean Rings
• The Euclidean algorithm

This page was built for publication: On the divisibility of matrices with remainder over the domain of principal ideals