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arXiv · 1210.4775

Partial transformation monoids preserving a uniform partition

Serena Cicalo·Vitor H. Fernandes·Csaba Schneider
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Abstract

The objective of this paper is to study the monoid of all partial transformations of a finite set that preserve a uniform partition. In addition to proving that this monoid is a quotient of a wreath product with respect to a congruence relation, we show that it is generated by 5 generators, we compute its order and determine a presentation on a minimal generating set.

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Serena Cicalo, Vitor H. Fernandes, Csaba Schneider. 2012-10-17. Partial transformation monoids preserving a uniform partition. https://arxiv.org/abs/1210.4775

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