A Sharp Bézout Domain is an Elementary Divisor Ring
We prove that a sharp Bézout domain is an elementary divisor ring.
Saved in:
| Date: | 2014 |
|---|---|
| Main Authors: | Zabavskii, B. V., Забавський, Б. В. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2014
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2131 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
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)
A Sharp Bйzout Domain is an Elementary Divisor Ring
by: B. V. Zabavskyi
Published: (2014)
by: B. V. Zabavskyi
Published: (2014)
Singularities of the structure of two-sided ideals of a domain of elementary divisors
by: Bilyavs’ka, S. I., et al.
Published: (2010)
by: Bilyavs’ka, S. I., et al.
Published: (2010)
Factorial Analog of Distributive Bezout Domains
by: Zabavskii, B. V., et al.
Published: (2001)
by: Zabavskii, B. V., et al.
Published: (2001)
Bezout rings with zero divisors in Jacobson radical
by: A. I. Hatalevych
Published: (2014)
by: A. I. Hatalevych
Published: (2014)
A criterion of elementary divisor domain for distributive domains
by: V. Bokhonko, et al.
Published: (2017)
by: V. Bokhonko, et al.
Published: (2017)
Reduction of Matrices over Bezout Rings of Stable Rank not Higher than 2
by: Zabavskii, B. V., et al.
Published: (2003)
by: Zabavskii, B. V., et al.
Published: (2003)
A criterion of elementary divisor domain for distributive domains
by: Bokhonko, Vasylyna, et al.
Published: (2017)
by: Bokhonko, Vasylyna, et al.
Published: (2017)
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)
Factorization of matrices over elementary divisor domain
by: Shchedryk, V.
Published: (2009)
by: Shchedryk, V.
Published: (2009)
Rings with Elementary Reduction of Matrices
by: Zabavskii, B. V., et al.
Published: (2000)
by: Zabavskii, B. V., et al.
Published: (2000)
Factorization of matrices over elementary divisor domain
by: Shchedryk, Volodymyr
Published: (2018)
by: Shchedryk, Volodymyr
Published: (2018)
Commutative domains of elementary divisors and some properties of their elements
by: Shchedrik, V. P., et al.
Published: (2012)
by: Shchedrik, V. P., et al.
Published: (2012)
Block-diagonal reduction of matrices over an $n$-simple Bézout domain $(n ≥ 3)$
by: Domsha, O.V., et al.
Published: (2010)
by: Domsha, O.V., et al.
Published: (2010)
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)
Stable rank of the set of full matrices over the ring of elementary divisors
by: B. V. Zabavskyi, et al.
Published: (2014)
by: B. V. Zabavskyi, et al.
Published: (2014)
Adequate properties of the elements with almost stable range 1 of a commutative elementary divisor domain
by: Romaniv, A. M.; Романів А. М.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів, et al.
Published: (2018)
by: Romaniv, A. M.; Романів А. М.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів, et al.
Published: (2018)
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)
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)
Adequate properties of the elements with almost stable range 1 of a commutative elementary divisor domain
by: A. M. Romaniv, et al.
Published: (2018)
by: A. M. Romaniv, et al.
Published: (2018)
Semiperfect ipri-rings and right Bézout rings
by: Gubareni, N. M., et al.
Published: (2010)
by: Gubareni, N. M., et al.
Published: (2010)
Right Bézout ring with waist is a right Hermite ring
by: Gatalevych, A. I., et al.
Published: (2010)
by: Gatalevych, A. I., et al.
Published: (2010)
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: Shchedryk, V. P., et al.
Published: (2021)
by: Shchedryk, V. P., et al.
Published: (2021)
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)
Some relationships between the invariant factors of matrix and its submatrix over elementary divisor domains
by: Romaniv, A. M.; Романів А. М.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів, et al.
Published: (2019)
by: Romaniv, A. M.; Романів А. М.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів, et al.
Published: (2019)
Some relationships between the invariant factors of matrix and its submatrix over elementary divisor domains
by: A. M. Romaniv, et al.
Published: (2019)
by: A. M. Romaniv, et al.
Published: (2019)
Generalized adequate rings
by: Zabavskii, B. V., et al.
Published: (1996)
by: Zabavskii, B. V., et al.
Published: (1996)
Canonical form of polynomial matrices with all identical elementary divisors
by: Shavarovskyy, B. Z., et al.
Published: (2012)
by: Shavarovskyy, B. Z., et al.
Published: (2012)
Bezout Rings of Stable Range 1.5
by: Shchedrik, V. P., et al.
Published: (2015)
by: Shchedrik, V. P., et al.
Published: (2015)
On minimal prime ideals of commutative Bezout rings
by: Gatalevych, A. I., et al.
Published: (1999)
by: Gatalevych, A. I., et al.
Published: (1999)
Commutative Bezout rings in which 0 is adequate is a semiregular
by: O. V. Pihura
Published: (2014)
by: O. V. Pihura
Published: (2014)
Sum of Divisors in a Ring of Gaussian Integers
by: Sinyavskii, O. V., et al.
Published: (2001)
by: Sinyavskii, O. V., et al.
Published: (2001)
Maximal non-Gelfand ideals of commutative Bezout domains
by: O. V. Pihura
Published: (2015)
by: O. V. Pihura
Published: (2015)
Noncommutative rings with elementary dividers
by: Zabavsky, В. V., et al.
Published: (1990)
by: Zabavsky, В. V., et al.
Published: (1990)
Some properties of primitive matrices over Bezout B-domain
by: Shchedryk, V.P.
Published: (2005)
by: Shchedryk, V.P.
Published: (2005)
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 Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor
by: Akymenko, A. M., et al.
Published: (2002)
by: Akymenko, A. M., et al.
Published: (2002)
Additivity of elementary maps on alternative rings
by: Ferreira, B.L.M.
Published: (2019)
by: Ferreira, B.L.M.
Published: (2019)
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)
Similar Items
-
A commutative Bezout PM* domain is an elementary divisor ring
by: B. Zabavsky, et al.
Published: (2015) -
A commutative Bezout PM* domain is an elementary divisor ring
by: Zabavsky, B., et al.
Published: (2015) -
A Sharp Bйzout Domain is an Elementary Divisor Ring
by: B. V. Zabavskyi
Published: (2014) -
Singularities of the structure of two-sided ideals of a domain of elementary divisors
by: Bilyavs’ka, S. I., et al.
Published: (2010) -
Factorial Analog of Distributive Bezout Domains
by: Zabavskii, B. V., et al.
Published: (2001)