刘仲奎.L-逆左系对幺半群的刻画[J].数学研究及应用,1996,16(3):413~420 |
L-逆左系对幺半群的刻画 |
Characterization of Monoids by L-Inverse Left Acts |
投稿时间:1993-07-03 |
DOI:10.3770/j.issn:1000-341X.1996.03.022 |
中文关键词: L-逆左系 正则左系 逆左系. |
英文关键词:L-inverse left acts regular left acts inverse acts. |
基金项目:甘肃省自然科学基金资助的课题. |
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中文摘要: |
正则左S-系是von Neumann正则半群的自然推广,逆左S-系是逆半群的自然推广.作为左逆半群的自然推广,本文引入了L-逆左系的概念,并用来刻画了几类幺半群,如左逆幺半群,逆幺半群,adequate幺半群等. |
英文摘要: |
It is well known that regular left acts and inverse left acts are natural generalizations of von Neumann regular semigroups and inverse semigroups,respectively. As a natural generalization of left inverse semigroups, we introduce a concept of L-inverse left acts. Some characterizations of monoids are given using properties of L-inverse left acts. |
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