MODULARITY AND DISTRIBUTIVITY OF 3-GENERATED LATTICES WITH SPECIAL ELEMENTS AMONG GENERATORS / Gein A. G.,Shushpanov M. P. // ALGEBRA AND LOGIC. - 2017. - V. 56, l. 1. - P. 1-12.

ISSN/EISSN:

0002-5232 / 1573-8302

Type:

Article

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.

Author keywords:

modular lattice; distributive lattice; left modular element; right modular element; distributive element; standard element

DOI:

10.1007/s10469-017-9423-z

Web of Science ID:

ISI:000401463200001

Соавторы в МНС:

Другие поля

Поле	Значение
Month	MAR
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
EISSN	1573-8302
Research-Areas	Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematics; Logic
Author-Email	a.g.geyn@urfu.ru Mikhail.Shushpanov@gmail.com
Funding-Acknowledgement	Ministry of Education and Science of the Russian Federation {[}02.A03.21.0006]; Ural Federal University
Funding-Text	Supported through the Competitiveness Project (Agreement No. 02.A03.21.0006 of 27.08.2013 between the Ministry of Education and Science of the Russian Federation and the Ural Federal University).
Number-of-Cited-References	13
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	2
Journal-ISO	Algebr. Log.
Doc-Delivery-Number	EV0VF