Email this article Lattices with Defining Relations Close to Distributivity
- Authors: Gein A.G.1, Shushpanov M.P.1
-
Affiliations:
- Ural Federal University
- Issue: Vol 58, No 6 (2017)
- Pages: 983-989
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171556
- DOI: https://doi.org/10.1134/S0037446617060076
- ID: 171556
Cite item
Open Access
Access granted
Subscription Access
Abstract
We consider the 3-generated lattices whose generators enjoy the defining relations of the type a∨(b∧c) = (a∨b)∧(a∨c). Moreover, if the lattice is finite then we obtain its diagram; otherwise, we prove that the corresponding lattice is infinite.
Keywords
About the authors
A. G. Gein
Ural Federal University
Author for correspondence.
Email: a.g.geyn@urfu.ru
Russian Federation, Ekaterinburg
M. P. Shushpanov
Ural Federal University
Email: a.g.geyn@urfu.ru
Russian Federation, Ekaterinburg
Supplementary files
