Cover Image

On the generalized Poisson and transposed Poisson algebras

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dzhumadil'daev, Askar, Ismailov, Nurlan, Mashurov, Farukh
Format:	Preprint
Published:	2025
Subjects:	Rings and Algebras 17B63, 17A30, 17B01, 17D25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the transposed Poisson n-Lie algebras
by: Mashurov, Farukh
Published: (2025)

Null Lagrangians in free Novikov algebras
by: Dzhumadil'daev, Askar, et al.
Published: (2026)

On transposed Poisson conformal algebras
by: Yuan, Lamei, et al.
Published: (2026)

New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures
by: Liu, Guilai, et al.
Published: (2023)

Extending structures for pre-Poisson algebras and pre-Poisson bialgebras
by: Zhu, Qianwen, et al.
Published: (2025)

Algebras constructed by Rota-Baxter operators
by: Dzhumadil'daev, A. S.
Published: (2025)

Abelian Subalgebras and Ideals of Maximal Dimension in Poisson algebras
by: Ouaridi, Amir Fernández, et al.
Published: (2024)

Bialgebras, Manin triples of Malcev-Poisson algebras and post-Malcev-Poisson algebras
by: Harrathi, Fattoum, et al.
Published: (2025)

Kupershmidt operators on $3$-BiHom-Poisson color algebras and $3$-BiHom-pre-Poisson color algebras structures
by: Ncib, Othmen, et al.
Published: (2024)

A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie-Poisson bialgebras
by: Liu, Guilai, et al.
Published: (2023)

Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras
by: Zhou, Kecheng, et al.
Published: (2025)

Poisson $n$-Lie algebras: constructions and the structure of solvable algebras
by: Cao, Xinru, et al.
Published: (2026)

Transposed $δ$-Poisson algebra structures on null-filiform associative algebras
by: Daukeyeva, Nigora, et al.
Published: (2025)

Transposed Poisson structures on the extended Schrödinger-Virasoro and the original deformative Schrödinger-Virasoro algebras
by: Shermatova, Zarina
Published: (2024)

Free Poisson Rota-Baxter algebra
by: Gubarev, Vsevolod
Published: (2026)

Transposed Poisson structures on solvable Lie algebras with filiform nilradical
by: Abdurasulov, Kobiljon, et al.
Published: (2024)

(Transposed) Poisson algebra structures on null-filiform associative algebras
by: Adashev, Jobir, et al.
Published: (2025)

On transposed Poisson conformal superalgebras
by: Fang, Hao, et al.
Published: (2026)

General multi-Novikov algebras, multi-differential algebras and their free constructions
by: Wang, Xiaoyan, et al.
Published: (2026)

Quantizations of transposed Poisson algebras by Novikov deformations
by: Chen, Siyuan, et al.
Published: (2024)

Noncommutative pre-Poisson bialgebras and relative Rota-Baxter operators
by: Li, Hongliang, et al.
Published: (2026)

Classification of Transposed Poisson 3-Lie algebras of dimension 3
by: Yaxi, Jiang, et al.
Published: (2024)

On conservative algebras of 2-dimensional Algebras
by: Oubba, Hassan
Published: (2025)

A new approach to the bialgebra theory for relative Poisson algebras
by: Liu, Guilai, et al.
Published: (2025)

Manin triples and bialgebras of Left-Alia algebras associated to invariant theory
by: Chuangchuang, Kang, et al.
Published: (2024)

On Zinbiel and Tortkara superalgebras
by: Bouarroudj, Sofiane, et al.
Published: (2025)

Isoclinism in regular Hom-Lie Yamaguti algebras
by: Asif, Sania, et al.
Published: (2025)

Bialgebra theory and $\mathcal O$-operators of admissible Hom-Poisson algebras
by: Benali, Karima
Published: (2025)

Poisson triple systems
by: Bremner, Murray, et al.
Published: (2025)

Anti-dendriform algebras, new splitting of operations and Novikov type algebras
by: Gao, Dongfang, et al.
Published: (2022)

Properties, deformation quantizations and bialgebras for dual pre-Poisson algebras
by: Lu, Dilei
Published: (2026)

On simple transposed Poisson algebras
by: Ouaridi, Amir Fernández
Published: (2026)

Relative Poisson bialgebras and Frobenius Jacobi algebras
by: Liu, Guilai, et al.
Published: (2023)

Log-ozone groups and centers of polynomial Poisson algebras
by: Chan, Kenneth, et al.
Published: (2025)

Erroneous proofs of the wildness of some automorphisms of free metabelian Lie algebras
by: Umirbaev, Ualbai
Published: (2024)

Representations of the Grassmann Poisson superalgebras
by: Shestakov, Ivan, et al.
Published: (2025)

Cohomology of BiHom-Associative Trialgebras
by: Mainellis, Erik, et al.
Published: (2024)

Nilpotency, Solvability and Frattini Theory for Poisson algebras
by: Towers, David A.
Published: (2025)

The exceptional Lie algebra $\mathfrak{g}_2$ generated by three generators subject to quadruple relations
by: Stoilova, N. I., et al.
Published: (2022)

Transposed δ-Poisson (super)algebra Structures on the Virasoro-like algebra and its Kantor Lie-double
by: Lin, Jie, et al.
Published: (2025)