Within
our conference series
Algebra
without Borders
we
are pleased to announce the next edition of the series, entitled
CLASSICAL AND CONSTRUCTIVE
NONASSOCIATIVE ALGEBRAIC STRUCTURES:
FOUNDATIONS AND APPLICATIONS – CaCNAS:FA
2021
This
event is dedicated to the memory of
Nebojša Stevanović (19622009)
Introduction to nonassociative algebra
OR
Playing havoc with the product rule?
(Bernard
Russo, 2012)
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,
computerassisted
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 (AGgroupoids, quasigroups, loops);

Nonassociative
algebras and their
generalizations (left almost
algebras);

Ordered
nonassociative algebraic
structures (logical algebras);

Applications
within natural sciences
and engineering;

Computeraided
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
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