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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Isotopy invariants in quasigroups


Author: Etta Falconer
Journal: Trans. Amer. Math. Soc. 151 (1970), 511-526
MSC: Primary 20.95
DOI: https://doi.org/10.1090/S0002-9947-1970-0272932-4
MathSciNet review: 0272932
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1970-0272932-4
Keywords: Variety, isotopically closed variety, inner mapping group, isotope, universal identity, derived identity, anti-associative loop identity
Article copyright: © Copyright 1970 American Mathematical Society