Splittings in the variety of residuated lattices
نویسندگان
چکیده
The operation ‘·’, often called fusion is distributive over join. In finite residuated lattices, fusion and join determine residuation uniquely, although residuation cannot be defined equationally from other operations. The class R of residuated lattices is a variety. It is arithmetical, has CEP, and is generated by its finite members (cf. [7]). It is also congruence 1-regular, i.e., for any congruence θ, the coset of 1 determines θ uniquely. Cosets of 1 are called congruence filters.
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