Finitely generated lattices with M-standard elements among generators

We prove that a lattice is modular if it is generated by three elements, two of which are M -standard. We also show that a lattice generated by n , n > 3, M -standard elements should not necessarily be modular.

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Bibliographic Details
Published in:Russian mathematics 2016-03, Vol.60 (3), p.14-17
Main Author: Gein, A. G.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:We prove that a lattice is modular if it is generated by three elements, two of which are M -standard. We also show that a lattice generated by n , n > 3, M -standard elements should not necessarily be modular.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X16030026