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This article is cited in 4 scientific papers (total in 4 papers)
Modularity and distributivity of $3$-generated lattices with special elements among generators
A. G. Gein, M. P. Shushpanov El'tsyn Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia
Abstract:
We consider $3$-generated lattices whose generating elements possess properties that are, in a sense, close to modularity or distributivity. Those combinations of these properties are specified that are sufficient for a lattice to be modular, and even distributive.
Keywords:
modular lattice, distributive lattice, left modular element, right modular element, distributive element, standard element.
Received: 08.07.2015 Revised: 17.11.2015
Citation:
A. G. Gein, M. P. Shushpanov, “Modularity and distributivity of $3$-generated lattices with special elements among generators”, Algebra Logika, 56:1 (2017), 3–19; Algebra and Logic, 56:1 (2017), 1–12
Linking options:
https://www.mathnet.ru/eng/al776 https://www.mathnet.ru/eng/al/v56/i1/p3
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Abstract page: | 266 | Full-text PDF : | 161 | References: | 41 | First page: | 15 |
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