Bulletin of the
Korean Mathematical Society
BKMS

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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.

Maximal properties of some subsemibands of order-preserving full transformations

Ping Zhao and Mei Yang

GuiZhou Normal University

Abstract

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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