🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

Modularity and Distributivity of 3-Generated Lattices with Special Elements Among Generators


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 Springer Science+Business Media New York