Geodesic
A pre-period of a finite distributive lattice
Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 141-148

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The notion of a pre-preriod of a finite bounded distributive lattice (BDL) A is defined by means of the notion of a pre-period of a finite connected monounary algebra: it is the maximum value of the pre-period of an endomorphism and 0-fixing connected mapping of A to A. The main result is that the pre-period of any finite BDL is less than or equal to the length of the lattice; also, necessary and sufficient conditions under which it is equal to the length of the lattice, are shown.
Keywords: distributive lattice, pre-period, connected unary operation, BDLC-algebra 
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Chotwattakawanit, Udom; Charoenpol, Aveya. A pre-period of a finite distributive lattice. Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 141-148. http://geodesic.mathdoc.fr/item/DMGAA_2023_43_1_a12/