所有双理想都是理想的半群
On Semigroups Whose Bi-ideals are ideals
程茜 1于慧2
作者信息
- 1. 青海师范大学数学系,青海西宁810008
- 2. 大连交通大学数理系,辽宁大连116028
- 折叠
摘要
所有双理想都是理想的半群定义为I0-半群,所有子半群都是双理想的半群定义为C0-半群;得到正则半群S是I0-半群当且仅当B（S）是半格;π-正则半群S是C0-半群,则S是矩形带的幂零扩张.
Abstract
The semigroup whose bi-ideals are ideals is called I0-semigroup,the semigroup whose subsemigroups are bi-ideals is called C0-semigroup;the following results are given： the sufficient and necessary condition of regular seimgroup S being I0-semigroup is B（S） being semilattice;if the π-regular seimgroupS is C0-semigroup,Sis a nil-extension of rectangular band.
关键词
理想/双理想/双主双理想Key words
Ideal/Bi-ideal/Dual-principal bi-ideal引用本文复制引用
基金项目
青海师范大学青年教师科学基金(200904)
出版年
2011
NETL
NSTL
维普
万方数据