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Siberian Mathematical Journal

, Volume 58, Issue 6, pp 983–989 | Cite as

Lattices with Defining Relations Close to Distributivity

  • A. G. Gein
  • M. P. Shushpanov
Article
  • 15 Downloads

Abstract

We consider the 3-generated lattices whose generators enjoy the defining relations of the type a∨(bc) = (ab)∧(ac). Moreover, if the lattice is finite then we obtain its diagram; otherwise, we prove that the corresponding lattice is infinite.

Keywords

defining relation free lattice distributive lattice 

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References

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Ural Federal UniversityEkaterinburgRussia

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