Article in volume
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Title:
A pre-period of a finite distributive lattice
PDFSource:
Discussiones Mathematicae - General Algebra and Applications 43(1) (2023) 141-148
Received: 2021-02-19 , Revised: 2021-09-30 , Accepted: 2021-11-23 , Available online: 2023-01-11 , https://doi.org/10.7151/dmgaa.1415
Abstract:
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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