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Claudia Mureşan: The Reticulation of a Residuated Lattice, p.47-65

Abstract:

In this paper we define the reticulation of a residuated lattice, prove that it has "good properties", present two constructions for it, prove its uniqueness up to an isomorphism, define the reticulation functor and give several examples of finite residuated lattices and their reticulations.

Key Words: Residuated lattice, reticulation, prime spectrum.

2000 Mathematics Subject Classification: Primary: 03G10, Secondary 06F35.

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