Equational Classes of Totally Ordered Modal Lattices

A modal lattice is a bounded distributive lattice endowed with a unary operator which preserves the join-operation and the smallest element. In this paper we consider the variety CH of modal lattices that is generated by the totally ordered modal lattices and we characterize the lattice of subvariet...

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Publicado: 1999
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01678094_v16_n1_p1_Petrovich
http://hdl.handle.net/20.500.12110/paper_01678094_v16_n1_p1_Petrovich
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Sumario:A modal lattice is a bounded distributive lattice endowed with a unary operator which preserves the join-operation and the smallest element. In this paper we consider the variety CH of modal lattices that is generated by the totally ordered modal lattices and we characterize the lattice of subvarieties of CH. We also give an equational basis for each subvariety of CH.