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Sándor Radeleczki (University of Miskolc): Representation of integral quantales by tolerances

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Wednesday, 23. May 2018, 13:30 - 15:00
Abstract. The main result of the talk claims that every integral quantale Q has a natural embedding into the quantale of complete tolerances on the underlying lattice of Q. As an application, we show that the underlying lattice of any integral quantale is distributive in 1 and it is dually pseudocomplemented. We deduce also a representation theorem for complete integral residuated lattices. Besides, we exhibit the relationships between several earlier results, in particular to S. Valentini’s ordered relations.
Location : Bolyai Intézet, II. emelet, Farkas terem, Aradi Vértanúk tere 1., Szeged


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