On the monoid of order-preserving transformations of a finite chain whose ranges are intervals
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DOI: 10.1007/s00233-024-10466-2
Abstract: We give a presentation for the monoid IOn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathscr{I}\mathscr{O}_n$$\end{document} of all order-preserving transformations of an n-chain whose ranges are intervals. We also consider the submonoid IOn-\documentclass[12pt]{minimal} \usepackage{amsmath}… read more here.
Keywords: preserving transformations; document; chain whose; usepackage ... See more keywords
Fixed points of order-preserving transformations
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DOI: 10.1142/s0219498822500827
Abstract: Let ????????n be the semigroup of order-preserving partial transformations on an n-chain. We establish several results for the number F(n,m) of elements of ????????n with m fixed points, including recurrence r... read more here.
Keywords: order preserving; fixed points; points order; preserving transformations ... See more keywords