Nijenhuis operators and associative D-bialgebras

Ma, Tianshui; Long, Linlin

doi:10.1016/j.jalgebra.2023.09.047

Journal of Algebra

2024

DOI: 10.1016/j.jalgebra.2023.09.047

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Nijenhuis operators and associative D-bialgebras

Tianshui Ma,

Linlin Long

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2024

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Cited by 2 publications

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Bialgebraic Structure on a Coder Pair of Any Weight

Li,

2024

Results Math

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Bialgebraic Structure on a Coder Pair of Any Weight

Li,

2024

Results Math

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Some algebraic structures about Nijenhuis operators

Ma,

Li,

Zheng

et al. 2024

Filomat

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In this paper, we aim to study the basic properties of Nijenhuis operators on coalgebras and present three algebraic structures: Nijenhuis admissible coassociative Yang-Baxter equations (cYBes for short), Nijenhuis 2-cycles and admissible Nijenhuis systems. We also prove that new solutions of cYBes can be obtained by Nijenhuis admissible cYBes. The equivalence between Nijenhuis admissible cYBes and Nijenhuis 2-cycles is given. A new way to construct Nijenhuis operators on coalgebra is provided.

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Nijenhuis operators and associative D-bialgebras

Cited by 2 publications

References 22 publications

Bialgebraic Structure on a Coder Pair of Any Weight

Bialgebraic Structure on a Coder Pair of Any Weight

Some algebraic structures about Nijenhuis operators

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