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This article is cited in 9 scientific papers (total in 9 papers)
Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type
A. G. Geĭn, M. P. Shushpanov Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg, Russia
Abstract:
We consider the $3$-generated lattices whose generators enjoy some properties that are close to modularity in a sense, including left modularity, right modularity, and dual right modularity. We find all combinations of these properties that suffice for the modularity of the lattice.
Keywords:
modular lattice, modular element.
Received: 06.11.2014
Citation:
A. G. Geǐn, M. P. Shushpanov, “Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type”, Sibirsk. Mat. Zh., 56:4 (2015), 798–804; Siberian Math. J., 56:4 (2015), 631–636
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https://www.mathnet.ru/eng/smj2679 https://www.mathnet.ru/eng/smj/v56/i4/p798
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Abstract page: | 196 | Full-text PDF : | 56 | References: | 33 | First page: | 4 |
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