Cover Image

The standard form of matrices over the ring of Gaussian integers with respect to (z, k)-equivalence

Saved in:

Bibliographic Details
Date:	2020
Main Authors:	V. M. Petrychkovych, H. V. Zelisko, N. B. Ladzoryshyn
Format:	Article
Language:	English
Published:	2020
Series:	Applied problems of mechanics and mathematics
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0001237334
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

The standard form of matrices over quadratic rings with respect to (z,k) -equivalence and structure of solutions of matrix bilateral linear equations
by: N. B. Ladzoryshyn, et al.
Published: (2018)

Standard forms of matrices over rings with respect to different types of equivalences and their applications in theory of the matrix factorization and matrix equations
by: V. M. Petrychkovych
Published: (2019)

On normal form with respect to semiscalar equivalence of polynomial matrices over a field
by: V. M. Prokip
Published: (2012)

The integer solutions of matrix linear unilateral and bilateral equations over quadratic rings
by: N. B. Ladzoryshyn
Published: (2015)

On the equivalence of matrices over commutative rings modulo ideals
by: Bondarenko, Vitaliy M., et al.
Published: (2018)

On the equivalence of matrices over commutative rings modulo ideals
by: V. M. Bondarenko, et al.
Published: (2014)

Equivalence of matrices in the ring M(n,R) and its subrings
by: N. S. Dzhaliuk, et al.
Published: (2021)

On some invariants of polynomial matrices with respect to semiscalar equivalence
by: B. Z. Shavarovskyi
Published: (2018)

On equivalence and factorization of the Kronecker product of matrices
by: V. R. Zelisko, et al.
Published: (2019)

Generalized equivalence of collections of matrices and common divisors of matrices
by: Petrychkovych, Vasyl M.
Published: (2018)

Generalized equivalence of collections of matrices and common divisors of matrices
by: Petrychkovych, V.M.
Published: (2004)

Symmetric matrices and matrix equations over rings of quasipolynomials with involution
by: V. R. Zelisko, et al.
Published: (2013)

Principal flat ideals in the ring of matrices over commutative elementary divisors domain
by: H. V. Zelisko
Published: (2012)

Finitary and Artinian-Finitary Groups over the Integers ℤ
by: Wehrfritz, B.A.F.
Published: (2002)

On the equivalence of polynomial matrices over a field
by: V. Prokip
Published: (2024)

A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices”
by: Petrychkovych, V.M.
Published: (2005)

A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices”
by: Petrychkovych, Vasyl M.
Published: (2018)

The absolute factorization of matrices in the rings of block-triangular matrices
by: N. S. Dzhaliuk, et al.
Published: (2013)

The canonical form of involutory matrices over the principal ideal domain with respect to similarity transformation
by: V. M. Prokip
Published: (2019)

On modules over group rings of locally soluble groups for a ring of p -adic integers
by: Dashkova, O.Yu.
Published: (2009)

Norm of Gaussian integers in arithmetical progressions and narrow sectors
by: Varbanets, S., et al.
Published: (2020)

Divisor function of the Gaussian integers weighted by the Kloosterman sum
by: Varbanets, Pavel, et al.
Published: (2026)

Indecomposable and irreducible \(t\)-monomial matrices over commutative rings
by: Bondarenko, Vitaliy Mykhaylovych, et al.
Published: (2016)

Indecomposable and irreducible t-monomial matrices over commutative rings
by: Bondarenko, V.M., et al.
Published: (2016)

Reducibility and irreducibility of monomial matrices over commutative rings
by: V. M. Bondarenko, et al.
Published: (2013)

Indecomposable and irreducible t-monomial matrices over commutative rings
by: V. Bondarenko, et al.
Published: (2016)

Diagonalizability theorems for matrices over rings with finite stable range
by: Zabavsky, Bogdan
Published: (2018)

On hereditary reducibility of 2-monomial matrices over commutative rings
by: Bondarenko, Vitaliy M., et al.
Published: (2019)

Diagonalizability theorems for matrices over rings with finite stable range
by: Zabavsky, B.
Published: (2005)

On a triangular form of polynomial matrix and its invariants with respect to semiscalar equivalence
by: B. Z. Shavarovskyi
Published: (2012)

The structure of matrices of rank one over the domain of principal ideals with respect to similarity transformation
by: V. M. Prokip
Published: (2016)

On the one-side equivalence of matrices with given canonical diagonal form
by: Shchedryk, Volodymyr
Published: (2018)

Elementary reduction of matrices over rings of almost stable range 1
by: Zabavsky, B., et al.
Published: (2020)

Stable rank of the set of full matrices over the ring of elementary divisors
by: B. V. Zabavskyi, et al.
Published: (2014)

Simultaneous reduction of pairs of matrices over everywhere adequate duo-ring
by: A. M. Bilous, et al.
Published: (2015)

Reduction of third order matrices over Bezout ring of stable rank 2
by: A. I. Hatalevych
Published: (2012)

Indecomposable and isomorphic objects in the category of monomial matrices over a local ring
by: V. M. Bondarenko, et al.
Published: (2017)

Finitary groups and Krull dimension over the integers
by: Wehrfritz, B.A.
Published: (2006)

Semiscalar equivalence of polynomial matrices and triangular similarity of numerical matrices
by: B. Z. Shavarovskyi
Published: (2013)

On the existence of unique solutions of linear matrix equations over rings with involution
by: V. R. Zelisko, et al.
Published: (2015)