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半群的Cwrpp根和半Cwrpp半群 被引量：1

Cwrpp Radicals of Semigroups and Semi-Cwrpp Smigroups
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摘要 引进Cwrpp根同余(集)、半Cwrpp半群的概念.研究了Cwrpp根同余(集)的性质.指出左Cwrpp(右Crpp)和完备rpp半群的Cwrpp根是强的,并给出它们的Cwrpp根的性质.证明了一个半群S是半Cwrpp的充分必要条件是S同构于一些Cwrpp半群的0-子直积. The concepts of Cwrpp radical congruences（or sets） and semi-Cwrpp semigroups were introduced.The properties of Cwrpp radical congruence（or set） were studied.It was shown that for left Cwrpp（or right Crpp） and perfect rpp semigroups,their Cwrpp radicals are strong.The characteristics of their Cwrpp radicals were presented and it was proven that a semigroup S is semi-Cwrpp if and only if S is isomorphic to a sub 0-direct product for some Cwrpp semigroups.
作者 高振林 宋土芳
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2012年第5期499-504,共6页 Journal of University of Shanghai For Science and Technology
关键词 (强)Cwrpp根同余(集) 半Cwrpp半群 0-子直积 （strong）Cwrpp radical congruences（sets） semi-Cwrpp semigroups sub 0-direct product
分类号 O152.7 [理学—基础数学]
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参考文献10

  • 1Fountain J B. Right pp potents[J]. Semigroup monoids with central idem- Forum, 1977, 13 (1): 229-237.
  • 2Fountain J B. Abundant semigroups[J]. Proc London Math Soc, 1982,44(3) : 103 - 123.
  • 3Tang X D. On a theorem of C-wrpp semigroups[J]. Comm Algebra, 1997,25(5) :1499- 1504.
  • 4Guo Y Q,Shum K P, Zhu P Y. The structure of left C-rpp semigroups[J]. Semigroup Forum, 1995,50 (1) : 4- 23.
  • 5Du L, Shum K P. On left C-wrpp semigroups [J]. Semigroup Forum, 2003,67 (3) : 373 - 387.
  • 6Shum K P, Ren X M. The structure of right C-rpp semigroups[J]. Semigroup Forum, 2004,68 (2) : 280 - 292.
  • 7Guo X J,Shum K P,Guo Y Q. Perfect rpp semigroups [J]. Comm in Algebra,2001,29(6) :2447 - 2459.
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同被引文献6

  • 1Howie J M.An introduction to semigroup theory[M]. London:Academic Press, 1976.
  • 2Fountain J B. Abundant semigroups [ J ]. American Mathematical Society, 1982,44(3) : 103 - 129.
  • 3Tang X D. On a theorem of C-wrpp semigroups[J]. Communications in Algebra, 1997, 25 (5): 1499 - 1504.
  • 4Lan Du, Shum K P. On left C-wrpp semigroups[J]. Semigroup Form, 2003,67(3) : 373 - 387.
  • 5Clifford A H, Preston G B. The algebraic theory of semigroups[M]. Providence: American Mathematical Society, 1961.
  • 6Guo X J, Shum K P, Guo Y Q. Perfect rpp semigroups [J]. Communications in Algebra, 2001, 29 ( 6 ) : 2447 - 2459.

引证文献1

上海理工大学学报
2012年 第5期

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