Lattices with complemented tolerance lattice

Sándor Radelecki; Dietmar Schweigert

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 2, page 407-412
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Radelecki, Sándor, and Schweigert, Dietmar. "Lattices with complemented tolerance lattice." Czechoslovak Mathematical Journal 54.2 (2004): 407-412. <http://eudml.org/doc/30870>.

@article{Radelecki2004,
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.},
author = {Radelecki, Sándor, Schweigert, Dietmar},
journal = {Czechoslovak Mathematical Journal},
keywords = {tolerance simple and tolerance-trivial lattices; locally order-polynomially complete lattices; locally order-polynomially complete lattices},
language = {eng},
number = {2},
pages = {407-412},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lattices with complemented tolerance lattice},
url = {http://eudml.org/doc/30870},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Radelecki, Sándor
AU - Schweigert, Dietmar
TI - Lattices with complemented tolerance lattice
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 2
SP - 407
EP - 412
AB - 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.
LA - eng
KW - tolerance simple and tolerance-trivial lattices; locally order-polynomially complete lattices; locally order-polynomially complete lattices
UR - http://eudml.org/doc/30870
ER -

References

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