Geodesic
On categorical equivalence of polysort algebra varieties to monosort algebra varieties
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 279-288

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It is proved in two rather general cases that a variety of polysort algebras is equivalent as a category to some variety of monosort (i.e. usual universal) algebras. 
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     title = {On categorical equivalence of polysort algebra varieties to monosort algebra varieties},
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E. G. Shul'geifer. On categorical equivalence of polysort algebra varieties to monosort algebra varieties. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 279-288. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a14/