About conference

The history of nonassociative algebraic structures can be traced at least to the middle of the 19^th century. Today, the theory of nonassociative algebraic structures is an enormously broad and greatly advanced area. Interesting new algebraic ideas arise, with challenging opportunities to discover connections to other areas of mathematics, natural sciences and engineering. On the other hand, computer-assisted methods proved useful in the development of the theory of nonassociative algebraic structures, in particulary in finding proofs and constructing examples. We will try to present a brief overview of the origins of nonassociative algebraic structures, selection of current research topics and future directions, generalizations within the framework of classical, fuzzy and intuitionistic logic, and further applications. Topics include, but are not limited, to:

Groupoids (binary systems) and their generalizations (AG-groupoids, quasigroups, loops);
Nonassociative algebras and their generalizations (left almost algebras);
Ordered nonassociative algebraic structures (logical algebras);
Applications within natural sciences and engineering;
Computer-aided development and transformation of the theory of nonassociative algebraic structures;
Algebraic geometry and its relations with quiver algebras;
Enumerative combinatorics;
Representation theory;
Fuzzy Logic and Foundation Theory;
Fuzzy Algebraic Structures;
Group amalgams;
Actions of groups on various geometric objects, such as diagram geometric and buildings;
Constructive nonassociative algebraic structures.

Organizers:

Melanija Mitrović
Mujahid Abbas
Mahouton Norbert Hounkonnou
Madad Khan