一类\mathcalR^\circ -富足半群的弱半直积结构

一类 $\mathcal{R}^{\circ }$ -富足半群的弱半直积结构

详细信息

摘要: 引入了一类 $\mathcal{R}^{\circ }$ -富足半群,该类半群真包含了GC-lpp半群,利用左正则带和 $\mathcal{R}^{\circ}$ -恰当半群给出这类半群的弱半直积的结构.
- $\mathcal{R}^{\circ}$ -半群 /
- 弱半直积
Abstract: A class of $\mathcal{R}^{\circ }$ -abundant semigroups is introduced which contains properly the GC-lpp semigroups, and then a weak semidirect product structure of this class of semigroups is established by using left regular bands and $\mathcal{R}^{\circ}$ -adequate semigroups.
- $\mathcal{R}^{\circ }$ -abundant semigroups /
- weak semidirect product