reposiTUm: All centralising monoids given by conservative majority operations on {0,1,2,3}

Datensatz Zitierlink:

http://hdl.handle.net/20.500.12708/193992
https://doi.org/10.34726/5494

Titel:

All centralising monoids given by conservative majority operations on {0,1,2,3}

Zitat:

Behrisch, M. (2021, February 5). All centralising monoids given by conservative majority operations on {0,1,2,3} [Conference Presentation]. AAA 100 - 100th Workshop on General Algebra, Kraków, Poland. https://doi.org/10.34726/5494

reposiTUm-DOI:

10.34726/5494

Publikationstyp:

Vortrag - Konferenz Präsentation

Sprache:

Englisch

Autor_innen:

Behrisch, Mike

Organisationseinheit:

E104-01 - Forschungsbereich Algebra

Datum (veröffentlicht):

5-Feb-2021

Veranstaltungsname:

AAA 100 - 100th Workshop on General Algebra

Veranstaltungszeitraum:

5-Feb-2021 - 7-Feb-2021

Veranstaltungsort:

Kraków, Polen

Keywords:

commutation; centraliser clone; bicentrically closed clone; primitive positive clone; centralising monoid; endoprimal monoid; majority operation; conservative majority operation; Galois connection; formal concept analysis; witness

Abstract:

Investigating the commutation condition between conservative majority operations and unary operations on finite sets, we determine all centralising monoids on a four-element carrier set that can be witnessed by conservative majority operations. Moreover, we count these monoids and we identify those proper submonoids among them that are maximal under set inclusion (within the discussed class of centralising monoids).

Später erschienen als:

10.1109/ISMVL51352.2021.00019

Forschungsschwerpunkte:

Mathematical and Algorithmic Foundations: 5%
Fundamental Mathematics Research: 95%

Wissenschaftszweig:

1010 - Mathematik: 100%

Lizenz:

CC BY-NC-ND 4.0