| 完备 wrpp 半群 |
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| 引用本文： | 张晓敏.完备 wrpp 半群[J].纯粹数学与应用数学,2007,23(2):214-220. |
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| 作者姓名： | 张晓敏 |
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| 作者单位： | 临沂师范学院数学系,临沂,276005 |
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| 基金项目： | 致谢：作者衷心感谢郑恒武教授的指导和帮助. |
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| 摘 要： | 研究一类 wrpp 半群,即完备 wrpp 半群,并给出完备 wrpp 半群的若干性质定理.特别地,得到完备 wrpp 半群的织积结构.作为织积的应用,我们证明完备 wrpp 半群是(R)-左消板的强半格.因此,唐向东关于 C-wrpp 半群的结果得到进一步发展.
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| 关 键 词： | (R)-左消板 完备 wrpp 半群 正规带 织积 |
| 文章编号： | 1008-5513（2007）02-0214-07 |
| 修稿时间： | 2005-10-14 |
Perfect wrpp semigroups |
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| ZHANG Xiaomin.Perfect wrpp semigroups[J].Pure and Applied Mathematics,2007,23(2):214-220. |
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| Authors: | ZHANG Xiaomin |
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| Institution: | Department of Linyi Normal University, Linyi 276005,China |
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| Abstract: | We study a class of wrpp semigroups, namely the perfect wrpp semigroups, and some characterization theorems for such semigroups are give. In particular, the spined product structure of perfect wrpp semigroups are obtained. As application of the spined product, we show that a perfect wrpp semigroup is a strong semilattice of R-left cancellative planks. Thus, the work of Tang Xiangdong on C-wrpp is further developed. |
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| Keywords: | R-left cancellative planks perfect wrpp semigroups normal band spined product |
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