Units in quasigroups with classical Bol-Moufang type identities
Natalia Didurik, Victor Shcherbacov
TL;DR
This paper investigates the existence of units in quasigroups that satisfy classical Bol-Moufang type identities, extending previous research in this area.
Contribution
It extends Kunen's research by analyzing units in quasigroups with identities listed in Fenvesh's classification.
Findings
Identification of conditions for units in Bol-Moufang quasigroups
Extension of existing theories on quasigroup units
New classifications of quasigroups with units
Abstract
We prolong Kunen research about existence of units (left, right, two-sided) in quasigroups with classical Bol-Moufang type identities. These identities were listed in Fenvesh article.
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Taxonomy
TopicsMathematics and Applications · graph theory and CDMA systems · History and Theory of Mathematics