Geodesic
Regular semigroups of partial transformations preserving a fence N
Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2.

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Semigroups of order-preserving transformations have been extensively studied for finite chains. We study the monoid $OP_{\mathbb{N}}$ of all order-preserving partial transformations on the set $\mathbb{N}$ of natural numbers, where the partial order is a fence (also called zigzag poset). The monoid $OP_{\mathbb{N}}$ is not regular. In this paper, we determine particular maximal regular subsemigroups of $OP_{\mathbb{N}}$ and show that $OP_{\mathbb{N}}$ has infinitely many maximal regular subsemigroups.
Publié le :
DOI : 10.30755/NSJOM.05333
Classification : 20M17, 20M20
Keywords: partial transformation, fence, maximal regular subsemigroup 
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     title = {Regular semigroups of partial transformations preserving a fence {N}},
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Laddawan Lohapan; Jörg Koppitz. Regular semigroups of partial transformations preserving a fence N. Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2. doi : 10.30755/NSJOM.05333. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.05333/

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