LρC-正则半群

J4 ›› 2011, Vol. 46 ›› Issue (4): 68-69.

L^ρC-正则半群

苏玉,孔祥智*

江南大学理学院, 江苏无锡 214122

收稿日期:2010-06-18 发布日期:2011-04-21
通讯作者: 孔祥智(1971- ),男,博士,教授,研究方向为半群代数理论. Email:xiangzhikong@163.com
作者简介:苏玉(1986- ),女,硕士研究生,研究方向为半群代数理论. Email:sy85726213@sina.com
基金资助:
国家自然科学基金资助项目(10871161); 江南大学PIRTJiangnan创新团队基金资助项目

L^ρC-regular semigroups

SU Yu, KONG Xiang-zhi*

School of Science, Jiangnan University, Wuxi 214122, Jiangsu, China

Received:2010-06-18 Published:2011-04-21

摘要/Abstract

摘要：

利用被推广的半群上的ρ-Green关系,研究L^ρC-正则半群,得到L^ρC-正则半群的等价刻画,证明了半群为L^ρC-正则半群当且仅当它为L-左可消幺半群的强半格。

关键词: ρ-Green关系; 态射; L^ρC-正则半群; 半格分解

Abstract:

By utilizing the generalized ρ-Green relations on semigroups, L^ρC-regular semigroups are researched. Some equivalent conditions for L^ρC-regular semigroups are proved, a semigroup is an L^ρC-regular semigroup if and only if it is a strong semilattice of Lcancellative monoids.

Key words: ρ-Green relation; homomorphism; L^ρC-regular semigroup; semilattice decomposition

苏玉,孔祥智*. L^ρC-正则半群[J]. J4, 2011, 46(4): 68-69.

SU Yu, KONG Xiang-zhi*. L^ρC-regular semigroups[J]. J4, 2011, 46(4): 68-69.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed