Geodesic
Binary relations and submaximal clones determined by central relation
Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 2, pp. 263-300

Voir la notice de l'article provenant de la source Library of Science

Let ρ be an h-ary central relation (h≥ 2) and σ a binary relation on a finite set A such that σρ. It is known from Rosenberg's classification theorem (1965) that the clone Polρ which consists of all operations on A that preserve ρ is a maximal clone on A. In this paper, we find all binary relations σ such that the clone Pol{ρ, σ} is a maximal subclone of Polρ, where ρ is a fixed central relation.
Keywords: central relations, meet-reducible, meet-irreducible, submaximal, clones 
@article{DMGAA_2023_43_2_a7,
     author = {Tenkeu Jeufack, Y.L. and Djoumessi, J. and Temgoua, E.R.A.},
     title = {Binary relations and submaximal clones determined by central relation},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {263--300},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2023_43_2_a7/}
}
TY  - JOUR
AU  - Tenkeu Jeufack, Y.L.
AU  - Djoumessi, J.
AU  - Temgoua, E.R.A.
TI  - Binary relations and submaximal clones determined by central relation
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2023
SP  - 263
EP  - 300
VL  - 43
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2023_43_2_a7/
LA  - en
ID  - DMGAA_2023_43_2_a7
ER  - 
%0 Journal Article
%A Tenkeu Jeufack, Y.L.
%A Djoumessi, J.
%A Temgoua, E.R.A.
%T Binary relations and submaximal clones determined by central relation
%J Discussiones Mathematicae. General Algebra and Applications
%D 2023
%P 263-300
%V 43
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2023_43_2_a7/
%G en
%F DMGAA_2023_43_2_a7
Tenkeu Jeufack, Y.L.; Djoumessi, J.; Temgoua, E.R.A. Binary relations and submaximal clones determined by central relation. Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 2, pp. 263-300. http://geodesic.mathdoc.fr/item/DMGAA_2023_43_2_a7/