Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type / Gein A. G.,Shushpanov M. P. // SIBERIAN MATHEMATICAL JOURNAL. - 2015. - V. 56, l. 4. - P. 631-636.

ISSN/EISSN:

0037-4466 / 1573-9260

Type:

Article

Abstract:

We consider the 3-generated lattices whose generators enjoy some properties that are close to modularity in a sense, including left modularity, right modularity, and dual right modularity. We find all combinations of these properties that suffice for the modularity of the lattice.

Author keywords:

modular lattice; modular element

DOI:

10.1134/S0037446615040072

Web of Science ID:

ISI:000359802500007

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUL
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1573-9260
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	a.g.gein@urfu.ru Mikhail.Shushpanov@gmail.com
Funding-Acknowledgement	Ministry of Education and Science of the Russian Federation {[}02.A03.21.0006]; Ural Federal University {[}02.A03.21.0006]
Funding-Text	The authors were supported under Agreement No. 02.A03.21.0006 of 27.08.2013 between the Ministry of Education and Science of the Russian Federation and Ural Federal University.
Number-of-Cited-References	7
Usage-Count-Last-180-days	3
Usage-Count-Since-2013	14
Journal-ISO	Sib. Math. J.
Doc-Delivery-Number	CP3SQ