# $n$-Permutable locally finitely presentable categories

## Marino Gran and Maria Cristina Pedicchio

We characterize $n$-permutable locally finitely presentable categories $Lex[{\mathcal C}^{op}, Set]$ by a condition on the dual of the essentially algebraic theory $\mathcal C^{op}$. We apply these results to exact Maltsev categories as well as to $n$-permutable quasivarieties and varieties.

Keywords: Locally finitely presentable categories, n-permutable and Maltsev varieties, quasivarieties.

2000 MSC: 18C05, 18C10, 18C35, 08C15.

Theory and Applications of Categories, Vol. 8, 2001, No. 1, pp 1-15.

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