• East Asian mathematical journal
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• v.22 no.2
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• pp.215-221
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• 2006

On a groupoid satisfying the Austin's identity, every n-ary linear term is essentially n-ary. That is, if a term has no variables appearing more than once, then the term depends on every variable it involves.

• East Asian mathematical journal
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• v.15 no.2
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• pp.153-163
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• 1999

We study how the $p_n$-sequence of a universal algebra determine the structure of the algebra. Regarding term equivalent algebras as the same algebras, we consider the problem when the algebras are groupoids.