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- W2100089284 abstract "In a finite lattice, a congruence spreads from a prime interval to another by a sequence of congruence-perspectivities through intervals of arbitrary size, by a 1955 result of J. Jakubík. In this note, I introduce the concept of prime-perspectivity and prove the Prime-projectivity Lemma: a congruence spreads from a prime interval to another by a sequence of prime-perspectivities through prime intervals. A planar semimodular lattice is slim, if it contains no M 3 sublattice. I introduce the Swing Lemma, a very strong version of the Prime-projectivity Lemma for slim, planar, and semimodular lattices." @default.
- W2100089284 created "2016-06-24" @default.
- W2100089284 creator A5085391470 @default.
- W2100089284 date "2015-08-12" @default.
- W2100089284 modified "2023-10-16" @default.
- W2100089284 title "Congruences and prime-perspectivities in finite lattices" @default.
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- W2100089284 doi "https://doi.org/10.1007/s00012-015-0355-y" @default.
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