Geodesic
Algebras with hyperidentities of the variety of Boolean algebras
Izvestiya. Mathematics , Tome 60 (1996) no. 6, pp. 1219-1260.

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A characterisation is given of the algebras with hyperidentities of the variety of Boolean algebras. A structure theorem is proven for such algebras. As a preliminary the hyperidentities of the varieties of lattices, modular lattices, and distributive lattices are characterised: existence theorems are proved for finite bases of hyperidentities. 
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Yu. M. Movsisyan. Algebras with hyperidentities of the variety of Boolean algebras. Izvestiya. Mathematics , Tome 60 (1996) no. 6, pp. 1219-1260. http://geodesic.mathdoc.fr/item/IM2_1996_60_6_a4/

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