三元素链上单射且保序偏变换幺半群非有限基
群论
2023-01-09 v2
摘要
我们证明三元素链上所有单射且保序偏变换的幺半群不容许其恒等式的有限基。这完成了 Volkov 提出的偏变换幺半群基本框架中幺半群的有限基问题的求解。
引用
@article{arxiv.2211.16828,
title = {The monoid of injective and extensive partial transformations of a chain with three elements is nonfinitely based},
author = {Sergey V. Gusev},
journal= {arXiv preprint arXiv:2211.16828},
year = {2023}
}
备注
The main result of this paper have been obtained in [Xun Hu, Yuzhu Chen, Yanfeng Luo, On the finite basis problem for the monoids of partial extensive injective transformations, Semigroup Forum 91(2015), 524-537]