On the semigroup of all injective orientation-preserving and order-decreasing partial transformations on a finite chain
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DOI: 10.1080/00927872.2024.2448248
Abstract: Abstract Let POPDIn (PODIn) be the semigroup consisting of all injective orientation-preserving (order-preserving) and order-decreasing transformations on the finite chain {1 read more here.
Keywords: preserving order; transformations finite; order decreasing; injective orientation ... 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