Email this article Modularity and Distributivity of 3-Generated Lattices with Special Elements Among Generators
- Authors: Gein A.G.1, Shushpanov M.P.1
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Affiliations:
- El’tsin Ural Federal University
- Issue: Vol 56, No 1 (2017)
- Pages: 1-12
- Section: Article
- URL: https://journals.rcsi.science/0002-5232/article/view/234018
- DOI: https://doi.org/10.1007/s10469-017-9423-z
- ID: 234018
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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.
About the authors
A. G. Gein
El’tsin Ural Federal University
Author for correspondence.
Email: a.g.geyn@urfu.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002
M. P. Shushpanov
El’tsin Ural Federal University
Email: a.g.geyn@urfu.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002
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