Finitely Generated Lattices with Completely Modular Elements among Generators / Gein A. G.,Shushpanov M. P. // ALGEBRA AND LOGIC. - 2014. - V. 52, l. 6. - P. 435-441.

ISSN/EISSN:

0002-5232 / 1573-8302

Type:

Article

Abstract:

We look at the concept of a completely modular element of a lattice, which is the modular analog of the well-known concept of a neutral element of a lattice. It is proved that a lattice is modular if it is generated by three elements of which two are completely modular. Also it is shown that a lattice generated by n, n > 3, completely modular elements must not necessarily be modular.

Author keywords:

modular lattices; free lattices; modular elements

DOI:

10.1007/s10469-014-9258-9

Web of Science ID:

ISI:000332578600001

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JAN
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	Alexander.Gein@usu.ru Mikhail.Shushpanov@gmail.com
Number-of-Cited-References	12
Usage-Count-Last-180-days	3
Usage-Count-Since-2013	28
Journal-ISO	Algebr. Log.
Doc-Delivery-Number	AC5RQ