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n-正则幺半群的平坦性刻画
乔虎生,郑奇莲
作者单位
乔虎生 西北师范大学数学系, 甘肃 兰州 730070 
郑奇莲 西北师范大学数学系, 甘肃 兰州 730070 
摘要:
本文研究了主弱平坦性质的推广问题.利用张量积相等的等式组,以及同调分类方法,获得了对广义正则的幺半群的刻画结果,推广了关于正则幺半群刻画的主要的结果.
关键词:  正则幺半群  n-正则幺半群  主弱平坦性  同调分类
DOI:
分类号:O152.7
基金项目:Supported by NSFC (10901129); SRFDP (20096203120001); Foundation for Young Innovative Scientists in Gansu Province.
THE CHARACTERIZATION OF n-REGULARMONOIDS BY FLATNESS PROPERTY
QIAO Hu-sheng,ZHENG Qi-lian
Abstract:
In this paper, we investigate the problem of generalization of principal weak flatness. Using equal systems of tensor products and the method of homological classiflcation, we obtain the characterizations of generally regular monoids, which extends the main results on the characterizations of regular monoids.
Key words:  regular monoid  n-regular monoid  principal weak flatness  homological classiflcation