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http://dx.doi.org/10.4134/BKMS.2013.50.2.627

MAXIMAL PROPERTIES OF SOME SUBSEMIBANDS OF ORDER-PRESERVING FULL TRANSFORMATIONS  

Zhao, Ping (School of Mathematics and Computer Science GuiZhou Normal University / Mathematics Teaching & Research Section Guiyang Medical College)
Yang, Mei (Cadre Proppants)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.2, 2013 , pp. 627-637 More about this Journal
Abstract
Let [$n$] = {1, 2, ${\ldots}$, $n$} be ordered in the standard way. The order-preserving full transformation semigroup ${\mathcal{O}}_n$ is the set of all order-preserving singular full transformations on [$n$] under composition. For this semigroup we describe maximal subsemibands, maximal regular subsemibands, locally maximal regular subsemibands, and completely obtain their classification.
Keywords
order-preserving full transformation semigroup; maximal subsemiband; maximal regular subsemiband; locally maximal subsemiband; locally maximal regular subsemiband;
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