Indeksowane metadane

Lp.
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Metadane dla dokumentu

1.
Tytuł
Tytuł dokumentu
On homomorphism-homogeneous point-line geometries

2.
Autor
Imię, nazwisko autora, afiliacja
Ėva Jungabel; 4

3.
Przedmiot
Słowo(a) kluczowe
homomorphism-homogeneous, point-line geometry, first-order structure

4.
Description
Abstrakt

A relational structure is homomorphism-homogeneous if every homomorphism between finite substructures extends to an endomorphism of the structure. A point-line geometry is a non-empty set of elements called points, together with a collection of subsets, called lines, in a way that every line contains at least two points and any pair of points is contained in at most one line. A line which contains more than two points is called a regular line. Point-line geometries can alternatively be formalised as relational structures. We establish a correspondence between the point-line geometries investigated in this paper and the firstorder structures with a single ternary relation L satisfying certain axioms (i.e. that the class of point-line geometries corresponds to a subclass of 3-uniform hypergraphs). We characterise the homomorphism-homogeneous point-line geometries with two regular non-intersecting lines. Homomorphism-homogeneous pointline geometries containing two regular intersecting lines have already been classified by Mašulović.

**Received **15 November 2018

5.
Wydawca
Organizing agency, location
Uniwersytet Jagielloński

6.
Date
(YYYY-MM-DD)
2019-10-08

7.
Format
Format pliku
PDF

10.
Źródło
Tytuł czasopisma/konferencji; vol., nr. (rok)
Reports on Mathematical Logic; 2019, Number 54 (2019)

11.
Język
English=EN
EN