Mathematics and Statistics Vol. 2(1), pp. 27 - 31
DOI: 10.13189/ms.2014.020104
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The Minimal System of Defining Relations of the Free Modular Lattice of Rank 3 and Lattices Close to Modular One

Alexander G. Gein , Mikhail P. Shushpanov ^*
Ural Federal University, Russia

ABSTRACT

We construct the system of 11 defining relations for the 3-generated free modular lattice. This system is proved to be minimal. Systems of defining relations for lattices close to modular one are studied.

KEYWORDS
Free modular lattices, Defining relations

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Alexander G. Gein , Mikhail P. Shushpanov , "The Minimal System of Defining Relations of the Free Modular Lattice of Rank 3 and Lattices Close to Modular One," Mathematics and Statistics, Vol. 2, No. 1, pp. 27 - 31, 2014. DOI: 10.13189/ms.2014.020104.

(b). APA Format:
Alexander G. Gein , Mikhail P. Shushpanov (2014). The Minimal System of Defining Relations of the Free Modular Lattice of Rank 3 and Lattices Close to Modular One. Mathematics and Statistics, 2(1), 27 - 31. DOI: 10.13189/ms.2014.020104.