Generalized adequate rings
We introduce a new class of rings of elementary divisors which generalize adequate rings. We show that the problem of whether every commutative Bezout domain is a domain of elementary divisors reduces to the case where the domain contains only trivial adequate elements (namely, the identities of the...
Saved in:
| Date: | 1996 |
|---|---|
| Main Authors: | Zabavskii, B. V., Забавський, Б. В. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5320 |
| 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
Locally adequate duo rings as a generalization case of right adequate rings
by: A. A. Dmytruk
Published: (2018)
by: A. A. Dmytruk
Published: (2018)
Stable range of generalized adequate ring
by: O. S. Sorokin
Published: (2012)
by: O. S. Sorokin
Published: (2012)
Adequate properties of elements in Abelian and duo-rings
by: A. A. Dmytruk
Published: (2019)
by: A. A. Dmytruk
Published: (2019)
A Sharp Bézout Domain is an Elementary Divisor Ring
by: Zabavskii, B. V., et al.
Published: (2014)
by: Zabavskii, B. V., et al.
Published: (2014)
Commutative Bezout rings in which 0 is adequate is a semiregular
by: O. V. Pihura
Published: (2014)
by: O. V. Pihura
Published: (2014)
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)
Simultaneous reduction of pairs of matrices over everywhere adequate duo-ring
by: A. M. Bilous, et al.
Published: (2015)
by: A. M. Bilous, et al.
Published: (2015)
On the stable range of matrix rings
by: Zabavskii, B. V., et al.
Published: (2009)
by: Zabavskii, B. V., et al.
Published: (2009)
Rings with Elementary Reduction of Matrices
by: Zabavskii, B. V., et al.
Published: (2000)
by: Zabavskii, B. V., et al.
Published: (2000)
Rings of almost unit stable rank 1
by: Vasyunyk, I. S., et al.
Published: (2011)
by: Vasyunyk, I. S., et al.
Published: (2011)
Generalized symmetric rings
by: Kafkas, G., et al.
Published: (2018)
by: Kafkas, G., et al.
Published: (2018)
Factorial Analog of Distributive Bezout Domains
by: Zabavskii, B. V., et al.
Published: (2001)
by: Zabavskii, B. V., et al.
Published: (2001)
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)
A generalization of WUU rings
by: Danchev, P. V., et al.
Published: (2017)
by: Danchev, P. V., et al.
Published: (2017)
A generalization of WUU rings
by: P. V. Danchev
Published: (2017)
by: P. V. Danchev
Published: (2017)
Dialogue of Cultures and Its Value for Adequate Interpretation of Literature for Young Adults
by: T. Romanko
Published: (2010)
by: T. Romanko
Published: (2010)
On division rings with general involution
by: Idris, Ismail M.
Published: (2018)
by: Idris, Ismail M.
Published: (2018)
On division rings with general involution
by: Idris, I.M.
Published: (2007)
by: Idris, I.M.
Published: (2007)
On a common generalization of symmetric rings and quasi duo rings
by: Subedi, T., et al.
Published: (2020)
by: Subedi, T., et al.
Published: (2020)
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)
b-Generalized derivations on prime rings
by: T. Pehlivan, et al.
Published: (2022)
by: T. Pehlivan, et al.
Published: (2022)
$b$ -Generalized derivations on prime rings
by: Pehlivan, T., et al.
Published: (2022)
by: Pehlivan, T., et al.
Published: (2022)
Jordan homoderivation behavior of generalized derivations in prime rings
by: N. Bera, et al.
Published: (2023)
by: N. Bera, et al.
Published: (2023)
Electromagnetic emission of the lithosphere: whether we treat in an adequate way the notion we are pretending to know of?
by: V. N. Shuman
Published: (2012)
by: V. N. Shuman
Published: (2012)
Electromagnetic emission of the lithosphere: whether we treat in an adequate way the notion we are pretending to know of?
by: Shuman, V.N.
Published: (2012)
by: Shuman, V.N.
Published: (2012)
Parametric model of resistance of plasma-erosive load, adequate in the wide range of change of applied voltage
by: N. A. Shydlovska, et al.
Published: (2017)
by: N. A. Shydlovska, et al.
Published: (2017)
Polynomial extensions of generalized quasi-Baer rings
by: Ghalandarzadeh, S., et al.
Published: (2010)
by: Ghalandarzadeh, S., et al.
Published: (2010)
Polynomial extensions of generalized quasi-Baer rings
by: Ghalanzardekh, S., et al.
Published: (2010)
by: Ghalanzardekh, S., et al.
Published: (2010)
Type conditions of stable range for identification of qualitative generalized classes of rings
by: Zabavsky, B.V.
Published: (2018)
by: Zabavsky, B.V.
Published: (2018)
Generalized derivations and commuting additive maps
on multilinear polynomials in prime rings
by: De, Filippis V., et al.
Published: (2016)
by: De, Filippis V., et al.
Published: (2016)
General Kloosterman sums over ring of Gaussian integers
by: Varbanets, S.P.
Published: (2007)
by: Varbanets, S.P.
Published: (2007)
On multiplicative (generalized)-(α,β)-derivations in prime rings
by: C. Garg, et al.
Published: (2024)
by: C. Garg, et al.
Published: (2024)
General Kloosterman sums over ring of Gaussian integers
by: Varbanets, S. P., et al.
Published: (2007)
by: Varbanets, S. P., et al.
Published: (2007)
Jordan homoderivation behavior of generalized derivations in prime rings
by: Bera, Nripendu, et al.
Published: (2023)
by: Bera, Nripendu, et al.
Published: (2023)
On multiplicative (generalized)-$(\alpha,\beta)$-derivations in prime rings
by: Garg, Chirag, et al.
Published: (2024)
by: Garg, Chirag, et al.
Published: (2024)
Rings of differential operators on singular generalized multi-cusp algebras
by: Bavula, Volodymyr V., et al.
Published: (2025)
by: Bavula, Volodymyr V., et al.
Published: (2025)
The concept and content of the constitutional right to social welfare in terms of an adequate standard of living for Ukrainian military personnel and their families
by: I. Yurchenko
Published: (2024)
by: I. Yurchenko
Published: (2024)
On Lie Ideals and Generalized Jordan Left Derivations of Prime Rings
by: N. Rehman, et al.
Published: (2013)
by: N. Rehman, et al.
Published: (2013)
A result on generalized derivations on right ideals of prime rings
by: Argaç, N., et al.
Published: (2012)
by: Argaç, N., et al.
Published: (2012)
On Lie Ideals and Generalized Jordan Left Derivations of Prime Rings
by: Ansari, A. Z., et al.
Published: (2013)
by: Ansari, A. Z., et al.
Published: (2013)
Similar Items
-
Locally adequate duo rings as a generalization case of right adequate rings
by: A. A. Dmytruk
Published: (2018) -
Stable range of generalized adequate ring
by: O. S. Sorokin
Published: (2012) -
Adequate properties of elements in Abelian and duo-rings
by: A. A. Dmytruk
Published: (2019) -
A Sharp Bézout Domain is an Elementary Divisor Ring
by: Zabavskii, B. V., et al.
Published: (2014) -
Commutative Bezout rings in which 0 is adequate is a semiregular
by: O. V. Pihura
Published: (2014)