Algebras of associative and autodistributive hyperoperations [Articol]

Abstract

This work continues the results established by W. A. Dudek and V. S. Trokhimenko [W. A. Dudek, V. S. Trokhimenko, Menger algebras of associative and self-distributive n-ary operations, Quasigroups Relat. Syst., 26 (2018), 45-52]. The first objective is to address a problem concerning superassociative operations. The second aim is to extend the study of Menger algebras of associative and autodistributive n-ary operations to the broader context of hypercompositional algebras.