摘要
作为Ｃｌｉｆｆｏｒｄ半群的推广的左Ｃｌｉｆｆｏｒｄ半群（左Ｃ─半群）已有一ξ─积结构。本文给出了左Ｃ─半群的另一结构，所谓△─积结构，它的一个特殊情形恰好为左群的强半格。这一新结构为半群的Ｃｌｉｆｆｏｒｄ层次的研究伸展到拟正则半群领域奠定了基础。
The ξ-product structure of the left C-semigroups as a generalization of Clifford semigroups have already been established. In this paper, another struc-ture of the left C-semigroups is given by means of the so called Δ-product structure,a special case of this structure is just the strong semilattice of left groups.The new structure is a basis that the study on Clifford hierarchy of semigroups can be ex-tended to the area of quasi-regular semigroups.
出处
《数学进展》
CSCD
北大核心
1995年第1期39-43,共5页
Advances in Mathematics（China）
基金
国家自然科学基金
国家教委博士点基金
关键词
左C半群
C半群
△积结构
Clifford semigroup
left regular band
left C-semigroup
Δ-produet
