摘要
定义了一类加细广义拟弱适当断面,即RGQWA断面,并研究了具有RGQWA断面的r-宽大半群的性质.借助该类半群上2个特殊子半群R和L,建立了具有拟理想RGQWA断面的r-宽大半群的织积结构.该结果不仅给出了一类r-宽大半群的构造方法,而且推广了具有纯正断面的正则半群和具有适当断面的富足半群的结构理论.
A class of refined generalised quasi weakly adequate transversals,namely RGQWA transversals is defined and the properties of r-wide semigroups with RGQWA transversals are studied.A spined product structure for r-wide semigroups with quasi-ideal RGQWA transversals is established by using two special subsemigroups R and L of the class of semigroups.This result not only gives a construction method for a class of r-wide semigroup,but also extends the structure theory of regular semigroups with orthodox transversals and the abundant semigroups with adequatese transversals.
作者
屈群佼
宫春梅
王美婷
张璟聪
QU Qunjiao;GONG Chunmei;WANG Meiting;ZHANG Jingcong(School of Science,Xi’an University of Architecture and Technology,Xi’an 710055,Shaanxi,China)
出处
《云南大学学报(自然科学版)》
北大核心
2025年第4期618-625,共8页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金青年基金(12001418).
