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On the lattice of tolerances for a finite chain

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On the lattice of tolerances for a finite chain

Górnicka, Anetta ; Grygiel, Joanna ; Tyrala, Iwona

Scientific Issues Jan Długosz University in Częstochowa ; Mathematics ; Cz. 21 ; s. 25-30

We provide some description of the lattice of tolerances for a finite chain, pointing to the skeleton tolerance as a special element of this lattice. In particular, we prove that the lattice of all glued tolerances of an n-element chain is isomorphic to the lattice of all tolerances of an n – 1-element chain and at the same time is a principal filter of the lattice of an n-element chain.

Place of publishing:

Częstochowa

Wydawnictwo im. Stanisława Podobińskiego Akademii im. Jana Długosza w Częstochowie

2016

artykuł

application/pdf

ISSN 2450–9302 ; oai:dlibra.bg.ajd.czest.pl:4009

10.16926/m.2016.21.03 ; click here to follow the link

eng

Prace Naukowe Akademii im. Jana Długosza w Częstochowie. Matematyka

click here to follow the link

CC BY 3.0 PL

Wydawnictwo im. Stanisława Podobińskiego Akademii im. Jana Długosza w Częstochowie

Location of original object:

Biblioteka Główna Akademii im. Jana Długosza w Częstochowie