Derivations and biderivations in dialgebras

• Date: 2026
• Main Authors: Restrepo-Sánchez, Gabriel Gustavo, Rodríguez-Nieto, José Gregorio, Salazar-Díaz, Olga Patricia, Sarrazola-Alzate, Andrés, Velásquez, Raúl
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2026
• Subjects: dialgebras; derivations; diderivations; Leibniz algebras; algebraic classification; 17A32; 17A36
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2457
• Journal Title: Algebra and Discrete Mathematics

The concepts of derivations and antiderivations for Leibniz algebras naturally arise from the inner operators determined by their algebraic structure. In this paper, we introduce the corresponding analogues in the setting of dialgebras, which we call diderivations, and examine their structural prope...