论文标题
定向转换的半群的内态性
Endomorphisms of semigroups of oriented transformations
论文作者
论文摘要
在本文中，我们表征了有限链的所有定向完全转换的半群的内态性质，以及所有定向部分变换的半群的内态性和内型的单态性，以及有限链的所有方向偏向偏置的内型内型的单态性。还给出了上述三个半群的所有取向延伸转换的内型的单态性的表征。此外，我们计算了这六个半群中每一个的内态数量。
In this paper, we characterize the monoid of endomorphisms of the semigroup of all oriented full transformations of a finite chain, as well as the monoid of endomorphisms of the semigroup of all oriented partial transformations and the monoid of endomorphisms of the semigroup of all oriented partial permutations of a finite chain. Characterizations of the monoids of endomorphisms of the subsemigroups of all orientation-preserving transformations of the three semigroups aforementioned are also given. In addition, we compute the number of endomorphisms of each of these six semigroups.
