Askar Dzhumadil'Daev
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Askar Dzhumadil'Daev has a total of 13 co-authors. Here are the top co-authors by number of shared publications:
- Nurlan Ismailov
Astana IT University
6 shared publications - Farukh Mashurov
SICM, Southern University of Science and Technology, Shenzhen, China
4 shared publications - Utkir Abdulloyevich Rozikov
V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
3 shared publications - Bakhrom A. Omirov
National University of Uzbekistan, Tashkent, Uzbekistan
2 shared publications - Damir Yeliussizov
Kazakh-British Technical University, Almaty, Kazakhstan
2 shared publications A.T. Orazgaliyev
Institute of Mathematics and Mathematical Modeling , Almaty , Kazakhstan
1 shared publication
Latest Publications
- Open Access
Null Lagrangians in free Novikov algebras
We study the symmetrization of the Novikov product. Using the embedding of a free Novikov algebra into a differential algebra over a field of characteristic zero and the Euler operators (variational derivatives), we show that the space of null Lagrangians coincides with the subspace of elements closed under the symmetrized product $a\circ b=ab+ba$. We also completely describe its module structure over symmetric group.Open AccessNull Lagrangians in free Novikov algebras
We study the symmetrization of the Novikov product. Using the embedding of a free Novikov algebra into a differential algebra over a field of characteristic zero and the Euler operators (variational derivatives), we show that the space of null Lagrangians coincides with the subspace of elements closed under the symmetrized product $a\circ b=ab+ba$. We also completely describe its module structure over symmetric group. - 14 July 2025
- Published by Springer Nature in Bulletin of the Iranian Mathematical Society
- Vol. 51 (4) , 1-14
Novikov Dialgebras and Perm Algebras
- 14 July 2025
- Published by Springer Nature in Bulletin of the Iranian Mathematical Society
- Vol. 51 (4) , 1-14
Novikov Dialgebras and Perm Algebras
- 21 June 2025
- Published by World Scientific Pub Co Pte Ltd in Journal of Algebra and Its Applications
On the generalized Poisson and transposed Poisson algebras
We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation for generalized Poisson algebras and prove that Itô’s theorem holds for generalized Poisson algebras.
- 21 June 2025
- Published by World Scientific Pub Co Pte Ltd in Journal of Algebra and Its Applications
On the generalized Poisson and transposed Poisson algebras
We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation for generalized Poisson algebras and prove that Itô’s theorem holds for generalized Poisson algebras.
- 1 April 2025
- Published by Pleiades Publishing Ltd in Mathematical Notes
- Vol. 117 (3-4) , 547-555
Weak Leibniz Algebras
An algebra with the identities \([a,b]c=2a(bc)-2b(ac)\) and \(a[b,c]=2(ab)c-2(ac)b\) is called a weak Leibniz algebra. It is shown that any weak Leibniz operad is self-dual and not Koszul. It is also proved that the polarization of any weak Leibniz algebra is a transposed Poisson algebra and vice versa, the depolarization of any transposed Poisson algebra is a weak Leibniz algebra.- 1 April 2025
- Published by Pleiades Publishing Ltd in Mathematical Notes
- Vol. 117 (3-4) , 547-555
Weak Leibniz Algebras
An algebra with the identities \([a,b]c=2a(bc)-2b(ac)\) and \(a[b,c]=2(ab)c-2(ac)b\) is called a weak Leibniz algebra. It is shown that any weak Leibniz operad is self-dual and not Koszul. It is also proved that the polarization of any weak Leibniz algebra is a transposed Poisson algebra and vice versa, the depolarization of any transposed Poisson algebra is a weak Leibniz algebra.- Open Access
On the generalized Poisson and transposed Poisson algebras
We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation for generalized Poisson algebras and prove that Ito's theorem holds for generalized Poisson algebras.
Open AccessOn the generalized Poisson and transposed Poisson algebras
We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation for generalized Poisson algebras and prove that Ito's theorem holds for generalized Poisson algebras.
- Open Access
- 30 November 2024
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Proceedings of the Bulgarian Academy of Sciences
- Vol. 77 (11) , 1577-1588
Lie-admissible, Associative-admissible Operads and Non-symmetric Versions of Symmetric Operads
A non-symmetric version of a symmetric operad is defined as the operad of algebras, where all consequences of the identity of degree 2 are valid in degree higher than 2 and not valid in degree 2. The main identity that should be included for such an operad is the reverse-associative identity $$a(bc)=(cb)a$$. An algebra is $$\pm$$-Jacobi admissible and $$\pm$$-associative-admissible if it satisfies the Jacobi identity and the associative identity under $$\pm$$-commutators, respectively. In our paper we consider operads related to Lie-admissible, associative-admissible, and associative-Lie-admissible algebras. In particular we find the dimension sequences of their multilinear parts.- 30 November 2024
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Proceedings of the Bulgarian Academy of Sciences
- Vol. 77 (11) , 1577-1588
Open AccessLie-admissible, Associative-admissible Operads and Non-symmetric Versions of Symmetric Operads
A non-symmetric version of a symmetric operad is defined as the operad of algebras, where all consequences of the identity of degree 2 are valid in degree higher than 2 and not valid in degree 2. The main identity that should be included for such an operad is the reverse-associative identity $$a(bc)=(cb)a$$. An algebra is $$\pm$$-Jacobi admissible and $$\pm$$-associative-admissible if it satisfies the Jacobi identity and the associative identity under $$\pm$$-commutators, respectively. In our paper we consider operads related to Lie-admissible, associative-admissible, and associative-Lie-admissible algebras. In particular we find the dimension sequences of their multilinear parts. - Open Access
- 29 March 2024
- Published by Turan University in Bulletin of "Turan" University
- No. 1,p. 9-22
Eco-foresight research in shaping country’s science development strategy regarding the green economy
This article focuses on the importance of eco- foresight research in shaping the country’s science development strategy in the field of green economy. The transition to a green economy requires balancing economic growth with environmental conservation, and finding a balanced model is a complex task that many specialists are actively working on. Ecoforesight, which involves the use of foresight methodology in the environmental field, plays a crucial role in identifying potential opportunities and risks for the natural environment associated with landmark innovations and global economic trends. The study aims to assess the long-term environmental impacts of current industrial activities and strategic planning of national industrial policies regarding green technologies. Scenario modeling, especially in the field of green technologies, is an important aspect of environmental forecasting due to its long-time horizons and numerous uncertainties. The article emphasizes the importance of eco- foresight research in ensuring sustainable development and innovation in the context of global strategic trends.
- 29 March 2024
- Published by Turan University in Bulletin of "Turan" University
- No. 1,p. 9-22
Open AccessEco-foresight research in shaping country’s science development strategy regarding the green economy
This article focuses on the importance of eco- foresight research in shaping the country’s science development strategy in the field of green economy. The transition to a green economy requires balancing economic growth with environmental conservation, and finding a balanced model is a complex task that many specialists are actively working on. Ecoforesight, which involves the use of foresight methodology in the environmental field, plays a crucial role in identifying potential opportunities and risks for the natural environment associated with landmark innovations and global economic trends. The study aims to assess the long-term environmental impacts of current industrial activities and strategic planning of national industrial policies regarding green technologies. Scenario modeling, especially in the field of green technologies, is an important aspect of environmental forecasting due to its long-time horizons and numerous uncertainties. The article emphasizes the importance of eco- foresight research in ensuring sustainable development and innovation in the context of global strategic trends.
- Open Access
Weak Leibniz algebras and transposed Poisson algebras
An algebra with identities $[a,b]c=2a(bc)-2b(ac), a[b,c]=2(ab)c-2(ac)b$ is called weak Leibniz. We show that weak Leibniz operad is self-dual and is not Koszul. We establish that polarization of any weak Leibniz algebra is transposed Poisson, and, conversely, polarization of any transposed Poisson algebra is weak Leibniz.Open AccessWeak Leibniz algebras and transposed Poisson algebras
An algebra with identities $[a,b]c=2a(bc)-2b(ac), a[b,c]=2(ab)c-2(ac)b$ is called weak Leibniz. We show that weak Leibniz operad is self-dual and is not Koszul. We establish that polarization of any weak Leibniz algebra is transposed Poisson, and, conversely, polarization of any transposed Poisson algebra is weak Leibniz. - 1 September 2021
- Published by Pleiades Publishing Ltd in Mathematical Notes
- Vol. 110 (3-4) , 322-328
Binary Leibniz Algebras
An algebra is called a binary Leibniz algebra if each of its two-generated subalgebras is a Leibniz algebra. In the present paper, we give a description of binary Leibniz algebras in terms of identities. As a consequence, we show that the variety of binary Leibniz algebras is not Schreier and that the freedom theorem fails to hold for this variety.
- 1 September 2021
- Published by Pleiades Publishing Ltd in Mathematical Notes
- Vol. 110 (3-4) , 322-328
Binary Leibniz Algebras
An algebra is called a binary Leibniz algebra if each of its two-generated subalgebras is a Leibniz algebra. In the present paper, we give a description of binary Leibniz algebras in terms of identities. As a consequence, we show that the variety of binary Leibniz algebras is not Schreier and that the freedom theorem fails to hold for this variety.
- Open Access
- 1 September 2020
- Published by Centre pour la Communication Scientifique Directe (CCSD) in Communications in Mathematics
- Vol. 28 (2) , 155-160
Lie commutators in a free diassociative algebra
We give a criterion for Leibniz elements in a free diassociative algebra. In the diassociative case one can consider two versions of Lie commutators. We give criterions for elements of diassociative algebras to be Lie under these commutators. One of them corresponds to Leibniz elements. It generalizes the Dynkin-Specht-Wever criterion for Lie elements in a free associative algebra.
- 1 September 2020
- Published by Centre pour la Communication Scientifique Directe (CCSD) in Communications in Mathematics
- Vol. 28 (2) , 155-160
Open AccessLie commutators in a free diassociative algebra
We give a criterion for Leibniz elements in a free diassociative algebra. In the diassociative case one can consider two versions of Lie commutators. We give criterions for elements of diassociative algebras to be Lie under these commutators. One of them corresponds to Leibniz elements. It generalizes the Dynkin-Specht-Wever criterion for Lie elements in a free associative algebra.