Bull. Korean Math. Soc. 2013; 50(2): 627-637
Printed March 31, 2013
https://doi.org/10.4134/BKMS.2013.50.2.627
Copyright © The Korean Mathematical Society.
Ping Zhao and Mei Yang
GuiZhou Normal University
Let $ [n]=\{1,2,\ldots, n\} $ be ordered in the standard way. The order-preserving full transformation semigroup $\O_n$ 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
MSC numbers: 20M20
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