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.
@article{IM2_1996_60_6_a4,
author = {Yu. M. Movsisyan},
title = {Algebras with hyperidentities of the variety of {Boolean} algebras},
journal = {Izvestiya. Mathematics },
pages = {1219--1260},
publisher = {mathdoc},
volume = {60},
number = {6},
year = {1996},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1996_60_6_a4/}
}
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/