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This article is cited in 1 scientific paper (total in 1 paper)
Lattices with defining relations close to distributivity
A. G. Gein, M. P. Shushpanov Ural Federal University, Ekaterinburg, Russia
Abstract:
We consider the $3$-generated lattices whose generators enjoy the defining relations of the type $a\vee(b\wedge c)=(a\vee b)\wedge(a\vee c)$. Moreover, if the lattice is finite then we obtain its diagram; otherwise, we prove that the corresponding lattice is infinite.
Keywords:
defining relation, free lattice, distributive lattice.
Received: 13.02.2017
Citation:
A. G. Gein, M. P. Shushpanov, “Lattices with defining relations close to distributivity”, Sibirsk. Mat. Zh., 58:6 (2017), 1267–1275; Siberian Math. J., 58:6 (2017), 983–989
Linking options:
https://www.mathnet.ru/eng/smj2936 https://www.mathnet.ru/eng/smj/v58/i6/p1267
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Abstract page: | 161 | Full-text PDF : | 39 | References: | 32 | First page: | 8 |
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