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P-kernel Normal System of Strong P-congruences on P-inversive Semigroups 被引量:1

P-kernel Normal System of Strong P-congruences on P-inversive Semigroups
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摘要 Let S(P) be a P-inversive semigroup. In this paper we describe the strong P-congruences on S(P) in terms of their P-kernel normal systems. We prove that any strong P-congruence on S(P) can present a P-kernel normal system; conversely any P-kernel normal system of S(P) can determine a strong P-congruence. Let S(P) be a P-inversive semigroup. In this paper we describe the strong P-congruences on S(P) in terms of their P-kernel normal systems. We prove that any strong P-congruence on S(P) can present a P-kernel normal system; conversely any P-kernel normal system of S(P) can determine a strong P-congruence.
机构地区 Basic Department
出处 《Northeastern Mathematical Journal》 CSCD 2005年第4期397-403,共7页 东北数学(英文版)
关键词 P-inversive semigroup strong P-congruence P-kernel normal system P-inversive semigroup, strong P-congruence, P-kernel normal system
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参考文献4

  • 1Hengwu Zheng.Strong $$\mathcal{P}$$ -Congruences on $$\mathcal{P}$$ -Regular semigroupssemigroups[J].Semigroup Forum.1995(1)
  • 2M. K. Sen.p-Congruences onp-regular semigroups[J].Semigroup Forum.1992(1)
  • 3M. Yamada,M. K. Sen.?-Regular semigroups[J].Semigroup Forum.1989(1)
  • 4Teruo Imaoka.*-congruences on regular *-semigroups[J].Semigroup Forum.1981(1)

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