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一类循环系的平坦性

Flatness of Some Cyclic Acts
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摘要 设S是半群,x1,x2,…S且满足xi+1xi=xi,i=1,2……y中的任意元素,记是s的由H生成的最小右同余,本文证明了s/p(H)是平坦右S-系. Let S be a monoid,and y,x1,x2, ... be in S such that Denote by p(H ) the right congruence generated by. We proved that the right S -act S/p(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/p(yx,x ) is flat.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2000年第1期124-128,共5页 数学研究与评论(英文版)
基金 国家自然科学基金!1950100
关键词 循环系 右同余 平坦体 幺半群 平坦右S-系 cyclic act right congruence flatness.
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参考文献5

  • 1[1]BULMAN-FLEMING S and McDowell K. Monoids over which all weakly flat acts are flat [J]. Proc.Edinburgh Math.Soc.,1990, 33: 287-298.
  • 2[2]BULMAN-FLEMING S and NORMAK P. Monoids over which all flat cyclic right acts are strongly flat [J]. Semigroup Forum, 1995, 50: 233-241.
  • 3[3]BULMAN-FLEMING S. Flat and strongly flat S-systems. Comm.in Algebra, 1992, 20(9): 2553-2567.
  • 4[4]BULMAN-FLEMING S and NORMAK P. Flatness properties of monocyclic acts. Monatshefte fr Mathematik, 1996, 122: 307-323.
  • 5[5]FLEISCHER V. Flat relative to diagram acts. Summaries of the conference "Theoretical and Applied Problems of Mathematics”, Tartu 1980,17-19.

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