Geodesic
All maximal completely regular submonoids of $Hyp_G(2)$
Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 1, pp. 105-114

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In this paper we consider mappings σ which map the binary operation symbol f to the term σ (f) which do not necessarily preserve the arity. These mapping are called generalized hypersubstitutions of type τ = (2) and we denote the set of all these generalized hypersubstitutions of type τ = (2) by HypG(2). The set HypG(2) together with a binary operation defined on this set and the identity generalized hypersubstitution which maps f to the term f(x1, x2) forms a monoid. In this paper, we determine all maximal completely regular submonoids of this monoid.
Keywords: generalized hypersubstitution, regular element, completely regular 
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Kunama, Pornpimol; Leeratanavalee, Sorasak. All maximal completely regular submonoids of $Hyp_G(2)$. Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 1, pp. 105-114. http://geodesic.mathdoc.fr/item/DMGAA_2017_37_1_a7/