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Sufficient conditions for the finiteness of the 3-generated lattice with modular and distributive type elements among generators.

Authors :
Gein, Alexander G.
Shushpanov, Mikhail P.
Source :
Algebra Universalis. Feb2021, Vol. 82 Issue 1, p1-20. 20p.
Publication Year :
2021

Abstract

We investigate the finiteness and the infiniteness of the free 3-generated lattice with modular and distributive type elements among generators. For all triples of generators with modular and distributive type elements, it is discovered whether the lattice generated by such triple is finite or infinite. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00025240
Volume :
82
Issue :
1
Database :
Academic Search Index
Journal :
Algebra Universalis
Publication Type :
Academic Journal
Accession number :
147980599
Full Text :
https://doi.org/10.1007/s00012-020-00696-0