Authors: Krapež, Aleksandar 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Generalized Quadratic Quasigroup Functional Equations
Series/Report no.: STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics and Health
Related Publication(s): Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures
Issue Date: 1-Jan-2023
ISBN: 978-3-031-39333-4
978-3-031-39334-1
ISSN: 2520-193X
DOI: 10.1007/978-3-031-39334-1_11
Abstract: 
This chapter is trying to give reader a sufficient knowledge of quasigroups and their equations to enable him/her to solve them if they are generalized and quadratic. Equation is generalized if functional variables appear only once in the equation. They are quadratic if their object variables appear exactly twice in the equation. The conditions are gradually weakening and solving becomes more complicated. The Chapter ends with some groupoid equations and the insight into problems we encounter solving them.
Publisher: Springer Link

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