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正则半群上的矩形群同余 被引量:3

Rectangular group congruences on regular semigroups
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摘要 文 [1 ]中 Petrich M定义了同余的核与迹 ,用它们描述了逆半群上的同余 ,Gomes在文 [2 ]中定义了同余的核与超迹并描述了正则半群上的 R-幂单 ( R- unipo-tent)同余 ,本文利用同余的核与超迹描述正则半群上的另一类重要同余 ,即矩形群同余 . Petrich,M.defined kernels and traces of congruences and described the congruences on inverse semigroups by means of them .Gomes defined kernels and hypertraces of congruences, and described the R unipotent congruences on regular semigroup by means of their kernels and hyper traces .This paper describes another kind of important congruences on a regular semigroup,i,e.rectangular group congruences.
出处 《纯粹数学与应用数学》 CSCD 2002年第2期161-164,共4页 Pure and Applied Mathematics
基金 山东省自然科学基金资助项目 (Y99A0 3)
关键词 矩形群 矩形群同余对 逆半群 正则半群 rectangular group,rectangular group congruence pair
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参考文献6

  • 1Petrich M. Inverse semigrowp[M]. New Yorik :Wiley & sons ,Inc. , 1984
  • 2Gomes ,Gracinda M S. R-unipotent congruences on regular semigroups[J]. Smg. Forum 1985, (31):265~280
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同被引文献16

  • 1F.Pastijn,郭聿琦.The lattice of idempotent distributive semiring varieties[J].Science China Mathematics,1999,42(8):785-804. 被引量:18
  • 2朱浸华,刘敏,魏斌.纯正半群上的强同余(I)[J].四川师范大学学报(自然科学版),2005,28(4):440-443. 被引量:5
  • 3Reilly N R,Scheiblich H E.Congruences on regular semigroups[J]. Pacific Journal Of Mathematics, 1967, 23(2):349-360.
  • 4Petrich M.Inverse Semigroups[M].New York:Wiley 1983.
  • 5Clifford A H,Preston G B. The Algebraic Theory Of Semigroups[M]. Providence:American Mathematical Society, 1961.
  • 6Venkatesan P S. Certain Subsemigroups of Orthodox Semigroups[J]. Semigroup Forum, 1985,32:183-187.
  • 7John Meakin. Congruences on orthodox semigroups(II)[J]. J. Austral. Math. Soc.,1972,13:259-266.
  • 8EDWARDS P M.Eventually regular semigroups[J].Bull Austral Math Soc,1983,28:23-38.
  • 9EDWARDS P M.On the lattice of congruence on an eventually regular semigroup[J].J Austral Soc:Series A,1985,38:281-286.
  • 10WEIPOLTSHAMMER B.Certain congruence on E-inversive E-semigroup[J].Semigroup Forum,2002,65:233-248.

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