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arXiv · 2304.06781

Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras

Ahmed Zahari·Bouzid Mosbahi·Imed Basdouri
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Abstract

The basic objective of this research work is to investigate the stucture of BiHom-associative trialgebras.\,In this respect we build up one important class of BiHom-trialgebras and determine properties of right, left and middle operations in BiHom-associative trialgebras.\,We provide a classification of $n$-dimensional BiHom-trialgebras for $n\leq3$.\,Relying upon the classification result of BiHom-associative trialgebras, the derivations and centroids of low-dimensional BiHom-associative trialgebras are characterized.\,Certain properties of the centroids in light of BiHom-associative trialgebras are reviwed the centroids of low-dimensional BiHom-associative trialgebras are computed.

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Ahmed Zahari, Bouzid Mosbahi, Imed Basdouri. 2023-04-13. Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras. https://arxiv.org/abs/2304.06781

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