On certain order-preserving transformation semigroups
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DOI: 10.1080/00927872.2016.1233333
Abstract: ABSTRACT Let X be a finite chain. Denote by ????(X) the monoid of all order-preserving full transformations on X. For any nonempty convex subchain Y of X, let Then is a submonoid of ????(X). In… read more here.
Keywords: order preserving; order; preserving transformation; certain order ... See more keywords
On isolated subsemigroups of order-decreasing transformation semigroups
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DOI: 10.15672/hujms.1632145
Abstract: For $n\in \mathbb{N}$, let $\mathcal{D}_{n}$ be the semigroup of all order-decrasing transformations on $X_{n}=\{1,\ldots ,n\}$, under its natural order. In this paper, we determine isolated, completely isolated, and (left/right) convex subsemigroups of $\mathcal{D}_{n}$. Furthermore, for… read more here.
Keywords: isolated subsemigroups; transformation semigroups; order decreasing; subsemigroups order ... See more keywords