Regular Semigroups of Partial Transformations Preserving a Fence N
Koppitz, Jörg ; Lohapan, Laddawan
Novi Sad Journal of Mathematics, Tome 46 (2017), / Harvested from Faculty of Science, Novi Sad
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Semigroups of order-preserving transformations have been extensively studied for finite chains. We study the monoid OP_N of all order-preserving partial transformations on the set N of natural numbers, where the partial order is a fence (also called zigzag poset). The monoid OP_N is not regular. In this paper, we determine particular maximal regular subsemigroups of OP_N and show that OP_N has infinitely many maximal regular subsemigroups

Publié le : 2017-01-01
@article{5333,
     title = {Regular Semigroups of Partial Transformations Preserving a Fence N},
     journal = {Novi Sad Journal of Mathematics},
     volume = {46},
     year = {2017},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/5333}
}

Koppitz, Jörg; Lohapan, Laddawan. Regular Semigroups of Partial Transformations Preserving a Fence N. Novi Sad Journal of Mathematics, Tome 46 (2017) . http://gdmltest.u-ga.fr/item/5333/