Isotopy invariants in quasigroups

Falconer, Etta

doi:10.1090/S0002-9947-1970-0272932-4

Isotopy invariants in quasigroups
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by Etta Falconer

Trans. Amer. Math. Soc. 151 (1970), 511-526

DOI: https://doi.org/10.1090/S0002-9947-1970-0272932-4

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Abstract:

The purpose of this paper is to investigate quasigroup and loop identities that are invariant under isotopy. The varieties of quasigroups and the varieties of loops that are closed under isotopy form isomorphic lattices. Some methods of generating isotopically closed varieties of loops are given.

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