대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제49권5호
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  • Pages.1015-1025
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  • 2012
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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REGULARITY AND GREEN'S RELATIONS ON SEMIGROUPS OF TRANSFORMATION PRESERVING ORDER AND COMPRESSION

  • Zhao, Ping (School of Mathematics and Computer Science GuiZhou Normal University, Mathematics Teaching & Research Section Guiyang Medical College) ;
  • Yang, Mei (Department of Petroleum Engineering Texas A&M University)
  • 투고 : 2011.05.31
  • 발행 : 2012.09.30
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초록

Let $[n]=\{1,2,{\cdots},n\}$, and let $PO_n$ be the partial order-preserving transformation semigroup on [n]. Let $$CPO_n=\{{\alpha}{\in}PO_n:({\forall}x,y{\in}dom{\alpha}),\;|x{\alpha}-y{\alpha}|{\leq}|x-y|\}$$ Then $CPO_n$ is a subsemigroup of $PO_n$. In this paper, we characterize Green's relations and the regularity of elements for $CPO_n$.

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참고문헌

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피인용 문헌

  1. COREGULARITY OF ORDER-PRESERVING SELF-MAPPING SEMIGROUPS OF FENCES vol.30, pp.4, 2015, https://doi.org/10.4134/CKMS.2015.30.4.349
  2. Regular subsemigroups of the semigroups of transformations preserving a fence vol.09, pp.01, 2016, https://doi.org/10.1142/S1793557116500030
  3. REGULARITY OF TRANSFORMATION SEMIGROUPS DEFINED BY A PARTITION vol.31, pp.2, 2016, https://doi.org/10.4134/CKMS.2016.31.2.217