Zinbiel superalgebras and superbialgebras

Authors

  • Boujemaa Agrebaoui Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia
  • Imed Basdouri Faculty of Science of Gafsa, University of Gafsa, Gafsa, Tunisia
  • Jebli Mohamed Eljoudi Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

DOI:

https://doi.org/10.3842/umzh.v78i1-2.7938

Keywords:

Zinbiel superalgebras; Lie supercoalgebras; bialgebras; Bimodule;Matched pair.

Abstract

UDC 512.5

In the present paper, we propose and study a new structure of the Zinbiel superalgebras. Moreover, we define dual bimodules and matched pairs. In addition, we establish a relationship between the dual bimodules of Zinbiel superalgebras and the matched pairs of Lie speralgebras. Furthermore, we examine the Manin triples of Zinbiel superalgebras. Finally, we present the theorem that establishes the links between the matched pairs of Zinbiel superalgebras, the Zinbiel superbialgebras, and the matched pairs of subadjacent Lie superalgebras.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 1-2, 2026.

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Published

26.01.2026

Issue

Vol. 78 No. 1-2 (2026)

Section

Research articles

License

Copyright (c) 2026 Boujemaa Agrebaoui, Imed Basdouri, Jebli Mohamed Eljoudi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Agrebaoui, Boujemaa, et al. “Zinbiel Superalgebras and Superbialgebras”. Ukrains’kyi Matematychnyi Zhurnal, vol. 78, no. 1-2, Jan. 2026, pp. 73–74, https://doi.org/10.3842/umzh.v78i1-2.7938.