刘仲奎,马勤生.一类循环系的平坦性[J].数学研究及应用,2000,20(1):124~128 |
一类循环系的平坦性 |
Flatness of Some Cyclic Acts |
投稿时间:1997-03-17 |
DOI:10.3770/j.issn:1000-341X.2000.01.021 |
中文关键词: 循环系 右同余 平坦性 |
英文关键词:cyclic act right congruence flatness. |
基金项目:国家自然科学基金资助课题(19501007) |
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中文摘要: |
设S是幺半群,x1,x2,…∈S且满足xi+1xi=xi,i=1,2……y是S中的任意元素,记H={(yxi,xi)|i=1,2,…}.设ρ(H)是S的由H生成的最小右同余,本文证明了S/ρ(H)是平坦右S-系. |
英文摘要: |
Let S be a monoid,and y,x1,x2,… be in S such that xi+1xi=xi,(i=1,2…). Denote by ρ(H ) the right congruence generated by H={(yxi,xi)|i=1,2,…}. We proved that the right S -act S/ρ(H ) is flat. As a corollary, the result of [4] follows directly, which says that,if x is a regular element of S, then S/ρ(yx,x ) is flat. |
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