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Title: A decomposition of homomorphic images of nearlattices (English)
Author: Chajda, Ivan
Author: Kolařík, Miroslav
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 45
Issue: 1
Year: 2006
Pages: 43-51
Summary lang: English
Category: math
Summary: By a nearlattice is meant a join-semilattice where every principal filter is a lattice with respect to the induced order. The aim of our paper is to show for which nearlattice $\mathcal{S}$ and its element $c$ the mapping $\varphi _c(x) = \langle x \vee c, x \wedge _p c \rangle $ is a (surjective, injective) homomorphism of $\mathcal{S}$ into $[c) \times (c]$. (English)
Keyword: nearlattice
Keyword: semilattice
Keyword: distributive element
Keyword: pseudocomplement
Keyword: dual pseudocomplement
MSC: 06A12
MSC: 06B99
MSC: 06D99
idZBL: Zbl 1123.06002
idMR: MR2321296
Date available: 2009-08-21T07:04:06Z
Last updated: 2012-05-04
Stable URL:
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