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弱左型B半群的真覆盖
The Proper Cover of a Weakly Left Type B Semigroup
【摘要】 弱型B半群是在半富足半群范围内的广义逆半群.该文利用弱左型B半群真覆盖的定义,给出了弱左型B半群真覆盖的相关性质.特别地,得到了相应于弱左型B半群作用在幂单幺半群上的真覆盖的结构定理.
【Abstract】 Weakly type B semigroups are generalized inverse semigroups in the rage of semi-abundant semigroups.Some properties of a proper cover of a weakly left type B semigroup are given by using the definition of the proper cover of a weakly left type B semigroup.In particular, some structure theorems corresponding to the proper cover of a weakly left type B semigroup acting on a unipotent monoid are obtained.
【关键词】 弱左型B半群;
真覆盖;
E-酉的;
幂单幺半群;
【Key words】 weakly type B semigroup; proper cover; E-unitary; unipotent monoid;
【Key words】 weakly type B semigroup; proper cover; E-unitary; unipotent monoid;
【基金】 国家自然科学基金(11261018; 11961026);江西省自然科学基金(20181BAB201002);江西省教育厅科学技术研究课题(GJJ2200634)资助项目
- 【文献出处】 江西师范大学学报(自然科学版) ,Journal of Jiangxi Normal University(Natural Science Edition) , 编辑部邮箱 ,2023年02期
- 【分类号】O152.7
- 【下载频次】9