Non-associative algebraic structures: classification and structure
Ivan Kaygorodov
TL;DR
This paper provides an overview of the classification and structural properties of non-associative algebraic structures, based on lecture notes from a recent mathematical course.
Contribution
It offers a comprehensive classification framework and structural insights into non-associative algebraic systems, enhancing understanding in this mathematical area.
Findings
Detailed classification of non-associative structures
Structural properties elucidated for various classes
Lecture notes serve as a foundational reference
Abstract
These are detailed notes for a lecture on "Non-associative Algebraic Structures: Classification and Structure" which I presented as a part of my Agrega\c{c}\~ao em Matem\'atica e Applica\c{c}\~oes (University of Beira Interior, Covilh\~a, Portugal, 13-14/03/2023).
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Topics in Algebra