Extensions and congruences of partial lattices

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73620537" target="_blank" >RIV/61989592:15310/23:73620537 - isvavai.cz</a>

Result on the web

<a href="https://www.degruyter.com/document/doi/10.1515/ms-2023-0024/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/ms-2023-0024/html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/ms-2023-0024" target="_blank" >10.1515/ms-2023-0024</a>

Result language

angličtina

Original language name

Extensions and congruences of partial lattices

Original language description

For a partial lattice L the so-called two-point extension is defined in order to extend L into a lattice. We describe these two-point extensions and prove several properties of them. We introduce the concept of congruence on a partial lattice and show its relationship to the notion of homomorphism and its quotient by a congruence. We prove that the quotient of a partial lattice by a congruence is again a partial lattice.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematica Slovaca

ISSN

0139-9918

e-ISSN

1337-2211

Volume of the periodical

72

Issue of the periodical within the volume

2

Country of publishing house

SK - SLOVAKIA

Number of pages

16

Pages from-to

289-304

UT code for WoS article

000960860500001

EID of the result in the Scopus database

2-s2.0-85151831532