Cover Image

Algebra, group, and Hopf Rota-Baxter operators

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bardakov, Valeriy G., Nikonov, Igor M., Zhelaybin, Viktor N.
Format:	Preprint
Published:	2024
Subjects:	Rings and Algebras Group Theory 16T05, 16S30, 16T25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Lie Rota--Baxter operators on the Sweedler algebra $H_4$
by: Bardakov, Valeriy G., et al.
Published: (2024)

Relative Rota-Baxter groups and skew left braces
by: Rathee, Nishant, et al.
Published: (2023)

Some properties of relative Rota--Baxter operators on groups
by: Bardakov, V. G., et al.
Published: (2024)

Rota--Baxter operators and skew left brace structures over Heisenberg Group
by: Rathee, Nishant
Published: (2024)

On a class of involutive Yang-Baxter groups
by: Meng, H., et al.
Published: (2025)

Derivations of Non-Commutative Group Algebras
by: Manju, Praveen, et al.
Published: (2023)

Cohomology and Extensions of Relative Rota-Baxter groups
by: Belwal, Pragya, et al.
Published: (2023)

Post Clifford semigroups, the Yang-Baxter equation, relative Rota--Baxter Clifford semigroups and dual weak left braces
by: Gong, Xiaoqian, et al.
Published: (2024)

Multi-quasisymmetric functions with semigroup exponents, Hopf algebras and Rota-Baxter algebras
by: Gao, Xing, et al.
Published: (2024)

Skew braces and Rota-Baxter operators on semi-direct products
by: Belwal, Pragya, et al.
Published: (2025)

Existence of integral Hopf orders in twists of group algebras
by: Cuadra, Juan, et al.
Published: (2022)

Soluble skew left braces and soluble solutions of the Yang-Baxter equation
by: Ballester-Bolinches, Adolfo, et al.
Published: (2023)

Addendum/Corrigendum to "On solubility of skew left braces and solutions of the Yang-Baxter equation"
by: Ballester-Bolinches, A., et al.
Published: (2026)

On cardinalities whose arithmetical properties determine the structure of solutions of the Yang--Baxter equation
by: Ferrara, Maria, et al.
Published: (2025)

The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension
by: Bell, Jason P., et al.
Published: (2014)

Simple solutions of the Yang-Baxter equation
by: Colazzo, Ilaria, et al.
Published: (2023)

On the structure of braces whose subideals are ideals
by: Dixon, Martyn R., et al.
Published: (2025)

Opposite brace triples, Hopf braces and matched pairs of Hopf algebras
by: Rodríguez, Ramón González, et al.
Published: (2026)

Inner and Outer Derivations of $\mathbb{F}V_{8n}$
by: Manju, Praveen, et al.
Published: (2024)

Involutive Yang-Baxter: cabling, decomposability, Dehornoy class
by: Lebed, V., et al.
Published: (2022)

Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses
by: Vilaboa, José Manuel Fernández, et al.
Published: (2024)

A Wells-like exact sequence for abelian extensions of relative Rota--Baxter groups
by: Belwal, Pragya, et al.
Published: (2024)

Multiple Rota-Baxter algebra and multiple Rota-Baxter modules
by: He, Jun, et al.
Published: (2025)

A Riemann-type duality of shuffle Hopf algebras related to multiple zeta values
by: Guo, Li, et al.
Published: (2024)

Matched pairs and Yang-Baxter operators
by: Li, Yunnan
Published: (2025)

On the number of quaternion and dihedral braces and Hopf--Galois structures
by: Byott, Nigel P., et al.
Published: (2024)

A Hopf algebra on nonplanar binary forests
by: Xiao, Elizabeth
Published: (2026)

How structure groups and monoids grow
by: Dietzel, Carsten, et al.
Published: (2025)

Connected Hopf Algebras that are Not Hopf Ore Extensions of Enveloping Algebras
by: Hu, Mengying, et al.
Published: (2025)

Curved O-operator systems
by: Ma, Tianshui, et al.
Published: (2017)

On the Hopf algebra of noncommutative symmetric functions in superspace
by: Arcis, Diego, et al.
Published: (2022)

New simple solutions of the Yang--Baxter equation and their permutation groups
by: Cedo, Ferran, et al.
Published: (2024)

Automorphism group of Suzuki's Hopf algebra
by: Shi, Yuxing, et al.
Published: (2023)

Almost classical skew bracoids
by: Martin-Lyons, Isabel
Published: (2024)

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach
by: Foissy, Loic, et al.
Published: (2025)

Geometric approach to the modular isomorphism problem: groups of order 64
by: Margolis, Leo, et al.
Published: (2026)

Chevalley property of module-finite Hopf algebras and discriminant ideals
by: Huang, Yimin, et al.
Published: (2026)

Partially Dualized Quasi-Hopf Algebras Reconstructed from Dual Tensor Categories to Finite-Dimensional Hopf Algebras
by: Li, Kangqiao
Published: (2023)

Units of twisted group rings and their correlations to classical group rings
by: Janssens, Geoffrey, et al.
Published: (2022)

Schur multiplier and Schur covers of relative Rota-Baxter groups
by: Belwal, Pragya, et al.
Published: (2023)