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

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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 
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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/

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