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Varieties of modular ortholattices

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Abstract

The bottom of the lattice of varieties of modular ortholattices is described. The theorem that is proved is;

THEOREM. Every variety of modular ortholattices which is different from all the MOn, 0≤n≤ω, contains MOω.

The theorem is proved by translating the problem, at least partially, into the language of regular rings.

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Communicated by R. Wille

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Roddy, M. Varieties of modular ortholattices. Order 3, 405–426 (1987). https://doi.org/10.1007/BF00340782

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  • DOI: https://doi.org/10.1007/BF00340782

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