Algebras assigned to ternary relations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145531" target="_blank" >RIV/61989592:15310/13:33145531 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Algebras assigned to ternary relations

Original language description

We show that to every centred ternary relation T on a set A there can be assigned (in a non-unique way) a ternary operation t on A such that the identities satisfied by (A;t) reflect relational properties of T. We classify ternary operations assigned tocentred ternary relations and we show how the concepts of relational subsystems and homomorphisms are connected with subalgebras and homomorphisms of the assigned algebra (A;t). We show that for ternary relations having a non-void median can be derived so-called median-like algebras (A;t) which become median algebras if the median M(a,b,c) is a singleton for all a,b,c in A. Finally, we introduce certain algebras assigned to cyclically ordered sets.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/EE2.3.20.0060" target="_blank" >EE2.3.20.0060: International Centre for Information and Uncertainty</a><br>

Continuities

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

Publication year

2013

Confidentiality

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

Name of the periodical

Miskolc Mathematical Notes (print)

ISSN

1787-2405

e-ISSN

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Volume of the periodical

14

Issue of the periodical within the volume

3

Country of publishing house

HU - HUNGARY

Number of pages

18

Pages from-to

827-844

UT code for WoS article

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EID of the result in the Scopus database

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