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Keywords:
loop; diassociativity; equational basis
loop; diassociativity; equational basis
Summary:
We show that the variety of diassociative loops is not finitely based even relative to power associative loops with inverse property.
References:
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[2] Kinyon M.K., Kunen K., Phillips J.D.: A generalization of Moufang and Steiner loops. Algebra Universalis 48 (2002), 81–101. DOI 10.1007/s00012-002-8205-0 | MR 1930034 | Zbl 1058.20057
[3] Chang C.C., Keisler H.J.: Model Theory. Studies in Logic and the Foundations of Mathematics, vol. 73, 3rd edition, North-Holland, Amsterdam, 1990. MR 1059055 | Zbl 0697.03022
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