Tensor Extensions

George Grätzer

Chapter Chapter 21 in The Congruences of a Finite Lattice, 2016, pp 253-272 from Springer

Abstract: Abstract Let A and B be nontrivial finite lattices. Then Con A × Con B $$\mathop{\mathrm{Con}}\nolimits A \times \mathop{\mathrm{Con}}\nolimits B$$ is a finite distributive lattice, so by the Dilworth Theorem Dilworth Theorem Dilworth, R. P. (Theorem 8.1 ), the lattice Con A × Con B $$\mathop{\mathrm{Con}}\nolimits A \times \mathop{\mathrm{Con}}\nolimits B$$ can be represented as Con L $$\mathop{\mathrm{Con}}\nolimits L$$ , for some finite lattice L.

Keywords: Tensor Extension; Finite Distributive Lattice; Wehrung; Antitone Map; Triple Balance (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-38798-7_21

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