逆半群的正规子半群的若干研究

发布时间：2018-06-27 06:58

本文选题：逆半群 + Brandt半群　；参考：《兰州理工大学》2017年硕士论文

【摘要】：本文研究了逆半群的正规子半群格的相关性质,刻画了任意逆半群S的正规子半群格和S的最大群同态像S/σ的正规子群格Subng(S/σ)之间的关系,其次证明了 Brandt半群S的正规子半群格SubnS是分配格,当且仅当S或者是带零的局部循环群,或者是Brandt半群B5.同时也给出了 Brandt半群S的正规子半群格SubnS是0-分配格的充分必要条件.
[Abstract]:In this paper, we study the correlation properties of normal subsemigroup lattices of inverse Semigroups, and characterize the relations between normal subsemigroup lattices of any inverse semigroup S and the subgroup lattice Subng (S / 蟽) of the maximal group homomorphism of S, respectively. Secondly, it is proved that the normal subsemigroup SubnS of Brandt semigroup S is a distributive lattice if and only if S is either a locally cyclic group with zero or a Brandt semigroup B5. At the same time, the sufficient and necessary conditions for the normal subsemigroup lattice SubnS of Brandt semigroup S to be 0-distributive lattices are also given.
【学位授予单位】：兰州理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O152.7

【参考文献】