Lattices with Complemented Tolerance Lattice

Authors: S. Radeleczki¹; D. Schweigert²

Source: Czechoslovak Mathematical Journal, Volume 54, Number 2, June 2004 , pp. 407-412(6)

Publisher: Springer

Buy & download fulltext article:

Price: $47.00 plus tax (Refund Policy)

Abstract:

We characterize lattices with a complemented tolerance lattice. As an application of our results we give a characterization of bounded weakly atomic modular lattices with a Boolean tolerance lattice.

Keywords: tolerance simple and tolerance-trivial lattices; locally order-polynomially complete lattices

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:CMAJ.0000042379.08339.82

Affiliations: 1: Institute of Mathematics, University of Miskolc, 3515 Miskolc-Egyetemváros, Hungary, Email: matradi@gold.uni-miskolc.hu 2: Fachbereich Mathematik, Universität Kaiserslautern, 67653 Kaiserslautern, Germany, Email: schweigert@mathematik.uni-kl.de

Publication date: 2004-06-01