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Unions of subquasigroups

Tomáš Kepka, Pavel Příhoda, Jan Šťovíček (2004)

Acta Universitatis Carolinae. Mathematica et Physica

Units in quasigroups with classical Bol--Moufang type identities

Natalia Didurik, Viktor Alekseevich Shcherbakov (2020)

Commentationes Mathematicae Universitatis Carolinae

We proceed with Kunen's research about existence of units (left, right, two-sided) in quasigroups with classical Bol--Moufang type identities, listed in paper Extra loops II, by F. Fenyves (1969). We consider those Bol--Moufang identities where it has not been decided yet whether a quasigroup fulfilling this identity has to possess a left or right identity. We also provide a table of all Moufang--Bol identities, indicating at each whether it describes the variety of groups, and whether it forces...

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