Email this article Free 3-Generated Lattices with Standard Element Among Generators
- Authors: Gein A.G.1, Shushpanov M.P.1
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Affiliations:
- El’tsin Ural Federal University
- Issue: Vol 57, No 6 (2019)
- Pages: 399-413
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234108
- DOI: https://doi.org/10.1007/s10469-019-09513-7
- ID: 234108
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Abstract
We consider 3-generated lattices among generators of which there are elements of distributive and modular types, and one of the generators is necessarily standard. For each triple of such generators, we answer the question whether a lattice generated by that triple is finite.
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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