Articles with "subsemigroups order" as a keyword



On isolated subsemigroups of order-decreasing transformation semigroups

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Published in 2025 at "Hacettepe Journal of Mathematics and Statistics"

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