Some properties of primitive matrices over Bezout B-domain
The properties of primitive matrices (matrices
 for which the greatest common divisor of the minors of maximal
 order is equal to 1) over Bezout B - domain, i.e. commutative
 domain finitely generated principal ideal in which for all a,b,c with
 (a,b,c) = 1,c 6= 0, th...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2005 |
| ISSN: | 1726-3255 |
| Main Author: | Shchedryk, V.P. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156626 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Some properties of primitive matrices over Bezout B-domain / V.P. Shchedryk // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 46–57. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
The greatest common divisors and least common multiples of matrices over commutative Bezout domains
by: V. P. Shchedryk
Published: (2014)
by: V. P. Shchedryk
Published: (2014)
Von Neumann regular matrices over a commutative Bezout domain is unit regular matrices
by: B. M. Kuznitska
Published: (2013)
by: B. M. Kuznitska
Published: (2013)
Factorization of matrices over elementary divisor domain
by: Shchedryk, V.
Published: (2009)
by: Shchedryk, V.
Published: (2009)
Factorization of matrices over elementary divisor domain
by: Shchedryk, Volodymyr
Published: (2018)
by: Shchedryk, Volodymyr
Published: (2018)
Reduction of third order matrices over Bezout ring of stable rank 2
by: A. I. Hatalevych
Published: (2012)
by: A. I. Hatalevych
Published: (2012)
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides
by: Kysil, T., et al.
Published: (2012)
by: Kysil, T., et al.
Published: (2012)
Elementary reduction of matrices over Bezout ring with n-fold stable range 1
by: O. M. Romaniv
Published: (2012)
by: O. M. Romaniv
Published: (2012)
Elementary reduction of matrices over commutative Bezout ring with n-fold stable range 2
by: B. V. Zabavskyi, et al.
Published: (2013)
by: B. V. Zabavskyi, et al.
Published: (2013)
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin's condition in which maximal nonprincipal ideals are two-sides
by: T. Kysil, et al.
Published: (2012)
by: T. Kysil, et al.
Published: (2012)
Diagonalizability theorem for matrices over certain domains
by: Zabavsky, B., et al.
Published: (2011)
by: Zabavsky, B., et al.
Published: (2011)
Maximal non-Gelfand ideals of commutative Bezout domains
by: O. V. Pihura
Published: (2015)
by: O. V. Pihura
Published: (2015)
A commutative Bezout PM* domain is an elementary divisor ring
by: B. Zabavsky, et al.
Published: (2015)
by: B. Zabavsky, et al.
Published: (2015)
A commutative Bezout PM* domain is an elementary divisor ring
by: Zabavsky, B., et al.
Published: (2015)
by: Zabavsky, B., et al.
Published: (2015)
Bezout rings of stable rank 1.5 and the decomposition of a complete linear group into its multiple subgroups
by: V. P. Shchedryk
Published: (2017)
by: V. P. Shchedryk
Published: (2017)
Weakly global dimension of finite homomorphic images of comutative Bezout domain
by: B. V. Zabavskyi, et al.
Published: (2012)
by: B. V. Zabavskyi, et al.
Published: (2012)
On divisibility with a remainder of matrices over a principal ideal domain
by: V. M. Prokip
Published: (2017)
by: V. M. Prokip
Published: (2017)
On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. III
by: Abdullayev, G.A.
Published: (2001)
by: Abdullayev, G.A.
Published: (2001)
Principal flat ideals in the ring of matrices over commutative elementary divisors domain
by: H. V. Zelisko
Published: (2012)
by: H. V. Zelisko
Published: (2012)
Classification of parametric solutions of matrix one-sided equations by the transforming matrices of their characteristic matrices
by: V. P. Shchedryk
Published: (2018)
by: V. P. Shchedryk
Published: (2018)
The least common multiple of matrices from one class of matrices over a commutative principal ideal domain
by: A. M. Romaniv
Published: (2017)
by: A. M. Romaniv
Published: (2017)
The evolution of power-property in primitive community and tribe
by: V. Tarasevych
Published: (2014)
by: V. Tarasevych
Published: (2014)
The canonical form of involutory matrices over the principal ideal domain with respect to similarity transformation
by: V. M. Prokip
Published: (2019)
by: V. M. Prokip
Published: (2019)
The structure of matrices of rank one over the domain of principal ideals with respect to similarity transformation
by: V. M. Prokip
Published: (2016)
by: V. M. Prokip
Published: (2016)
Some primitive elements for the Artin--Schreier extensions of finite fields
by: R. B. Popovych
Published: (2015)
by: R. B. Popovych
Published: (2015)
The left greatest common divisor and the left least common multiple of all solutions of the matrix equation BX = A over a commutative elementary divisor domain
by: V. P. Shchedryk
Published: (2021)
by: V. P. Shchedryk
Published: (2021)
Generated set of matrices divisors and its propertiess
by: V. P. Shchedryk
Published: (2013)
by: V. P. Shchedryk
Published: (2013)
Triangularization of a pair of matrices over a principal ideal domain with minimal quadratic polynomials
by: V. M. Prokip
Published: (2015)
by: V. M. Prokip
Published: (2015)
Some (Hopf) algebraic properties of circulant matrices
by: Albuquerque, Helena, et al.
Published: (2018)
by: Albuquerque, Helena, et al.
Published: (2018)
Some (Hopf) algebraic properties of circulant matrices
by: H. Albuquerque, et al.
Published: (2012)
by: H. Albuquerque, et al.
Published: (2012)
Some (Hopf) algebraic properties of circulant matrices
by: Albuquerque, H., et al.
Published: (2012)
by: Albuquerque, H., et al.
Published: (2012)
On the one-side equivalence of matrices with given canonical diagonal form
by: Shchedryk, V.
Published: (2011)
by: Shchedryk, V.
Published: (2011)
On the one-side equivalence of matrices with given canonical diagonal form
by: Shchedryk, Volodymyr
Published: (2018)
by: Shchedryk, Volodymyr
Published: (2018)
Monte Carlo simulations of the critical properties of the restricted primitive model
by: Caillol, J.-M.
Published: (2004)
by: Caillol, J.-M.
Published: (2004)
Pseudocompact primitive topological inverse semigroups
by: O. V. Gutik, et al.
Published: (2013)
by: O. V. Gutik, et al.
Published: (2013)
The Primitive Derivation and Discrete Integrals
by: Suyama, Daisuke, et al.
Published: (2021)
by: Suyama, Daisuke, et al.
Published: (2021)
Comaximal factorization in a commutative Bezout ring
by: Zabavsky, B.V., et al.
Published: (2020)
by: Zabavsky, B.V., et al.
Published: (2020)
On the equivalence of polynomial matrices over a field
by: V. Prokip
Published: (2024)
by: V. Prokip
Published: (2024)
Bezout rings with zero divisors in Jacobson radical
by: A. I. Hatalevych
Published: (2014)
by: A. I. Hatalevych
Published: (2014)
Period Matrices of Real Riemann Surfaces and Fundamental Domains
by: Giavedoni, P.
Published: (2013)
by: Giavedoni, P.
Published: (2013)
Minimax isomorphism algorithm and primitive posets
by: Bondarenko, V.M.
Published: (2011)
by: Bondarenko, V.M.
Published: (2011)
Similar Items
-
The greatest common divisors and least common multiples of matrices over commutative Bezout domains
by: V. P. Shchedryk
Published: (2014) -
Von Neumann regular matrices over a commutative Bezout domain is unit regular matrices
by: B. M. Kuznitska
Published: (2013) -
Factorization of matrices over elementary divisor domain
by: Shchedryk, V.
Published: (2009) -
Factorization of matrices over elementary divisor domain
by: Shchedryk, Volodymyr
Published: (2018) -
Reduction of third order matrices over Bezout ring of stable rank 2
by: A. I. Hatalevych
Published: (2012)