On groupoids with Bol-Moufang type identities
Grigorii Horosh, Victor Shcherbacov, Alexandru Tcachenco, Tatiana, Yatsko
TL;DR
This paper investigates small-order groupoids satisfying various Bol-Moufang type identities, including both classical and non-classical forms, to understand their algebraic properties and classifications.
Contribution
It provides a comprehensive analysis of small-order groupoids with Bol-Moufang identities, expanding the understanding of their structure and diversity.
Findings
Classification of small-order groupoids with Bol-Moufang identities
Identification of non-classical Bol-Moufang type structures
Insights into algebraic properties of these groupoids
Abstract
We present results about groupoids of small order with Bol-Moufang type identities both classical and non-classical which are listed in [7, 8].
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Taxonomy
TopicsAdvanced Topics in Algebra · Mathematics and Applications · Fuzzy and Soft Set Theory