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

Record link:

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

Title:

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

Citation:

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

Publication Type:

Presentation - Conference Presentation

Language:

English

Authors:

Behrisch, Mike

Organisational Unit:

E104-01 - Forschungsbereich Algebra

Date (published):

5-Feb-2021

Event name:

AAA 100 - 100th Workshop on General Algebra

Event date:

5-Feb-2021 - 7-Feb-2021

Event place:

Kraków, Poland

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).

Later published as:

10.1109/ISMVL51352.2021.00019

Research Areas:

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

Science Branch:

1010 - Mathematik: 100%

License:

CC BY-NC-ND 4.0