摘要
研究幂等元集为正规带的r-宽大半群的结构,证明了半群S是一个幂等元集为正规带的r-宽大半群,当且仅当S同构于一个左正规带、右正规带和弱适当半群的拟织积.
The structure of r-wide semigroups whose idempotents form normal band is studied.We prove that a semigroup is r-wide semigroup whose idempotents form normal band if and only if it is isomorphic to a quasispined product of a left normal band,a right normal band and a weakly adequate semigroup.
作者
彭娇
宫春梅
PENG Jiao;GONG Chun-mei(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）》
CAS
CSCD
北大核心
2022年第5期895-901,共7页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金青年基金(12001418)
陕西省教育厅基金(18JK0442)。
关键词
r-宽大半群
正规带
弱适当半群
拟织积
r-wide semigroups
normal band
weakly adequate semigroups
quasi-spined product
