Year: 2026
Type: article
Abstract: We develop a theory of crossed modules for BiHom-associative dialgebras. After introducing actions and semidirect products in this category, we define a notion of crossed module adapted to the BiHom setting and characterize it in terms of split extensions. Our main result establishes a categorical equivalence between the category of crossed modules of BiHom-associative dialgebras and the category of Cat1-BiHom-associative dialgebras.
Source: Galois Journal of Algebra
Author: Ahmed Zahari
Institution: Université de Haute-Alsace
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7166718946
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