This article is cited in 4 papers

Brief communications

Defining relations of a free modular lattice of rank $3$

A. G. Gein, M. P. Shushpanov

Chair of Algebra and Discrete Mathematics, Ural Federal University, 19 Mira str., Ekaterinburg, 620002 Russia

Abstract: For a $3$-generated free modular lattice we obtain a system of $11$ defining relations and prove this set to be minimal.

Keywords: free modular lattices, defining relations.

UDC: 512.565

Presented by the member of Editorial Board: L. N. Shevrin
Received: 11.02.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:10, 59–61

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