Email this article Finiteness and Infiniteness of 3-Generated Lattices with Distributive Elements Among Generators
- Authors: Shushpanov M.P.1
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Affiliations:
- Ural Federal University
- Issue: Vol 60, No 4 (2019)
- Pages: 734-740
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172598
- DOI: https://doi.org/10.1134/S0037446619040190
- ID: 172598
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Abstract
We consider 3-generated lattices whose generators are distributive, dually distributive, right modular, dually right modular elements, or elements possessing a combination of these properties. For these lattices, we find all triples of generators that suffice for the generated lattice to be finite.
About the authors
M. P. Shushpanov
Ural Federal University
Author for correspondence.
Email: Mikhail.Shushpanov@gmail.com
Russian Federation, Ekaterinburg
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