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满足置换恒等式的强wrpp半群的性质和特征 被引量：3

Some Properties and Characterizations of Strongly wrpp Semigroups which Satisfy Permutation Identities
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摘要 通过引入满足置换恒等式的强wrpp半群的定义,得到了满足置换恒等式的强wrpp半群的一些性质。通过引入正规带上的最小半格同余ε,证明了当E(S)是矩形带时,满足置换恒等式的强wrpp半群是交换R-左可消幺半群与矩形带的直积。 In this paper, we introduce strongly wrpp semigroups which satisfy permutation identities. Then we obtain some properties for such semigroups. By introducing the minisemilattice congruence ε on the normal band B, on the condition of E（S） being a rectangular band, it is shown that a strongly wrpp semigroup,which satisfies permutation identities, is the direct product of a commutative p - left cancellative monoids and a rectangular band.
作者 任秀 姜秀燕 孙凤芝
机构地区 大庆师范学院数学系
出处 《长春师范学院学报（自然科学版）》 2007年第3期7-9,共3页 Journal of Changchun Teachers College
关键词 WRPP半群 强WRPP半群 满足置换恒等式强wrpp半群 wrpp semigroups strongly wrpp semigroups wrpp semigroups satisfying permutation identities
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献7

  • 1[1]TANG X D.On a theorem of C-wrpp semigroups[J].Comm.Algebra,1997,(25):1449-1504.
  • 2[2]DU L,SHUM K P.On left C-wrpp semigroups[J].Semigroup Forum,2003,(67):373-387.
  • 3[3]Yamada M.Regular semigroups whose idempotents satisfy permutation identities[J].Pacific J Math,1967,(21):371-397.
  • 4[4]Restivo A,Reutenauer C.On the Burnside problem for semigroups[J].J Algebra,1984,(89):102-104.
  • 5[5]LONG D Y.On an ample and essential condition of the Shevrin problem[J].Sh uxue Niankan,1992,(3):360-363.
  • 6任秀,姜秀燕.满足置换恒等式的强wrpp半群的性质[J].大庆师范学院学报,2007,27(2):23-24. 被引量：5
  • 7[7]GUO X J.Abundant semigroups whose idempotents satisfy permutation identities[J].Semigroup Forum,1997,(54):317-326.

二级参考文献7

  • 1[1]KILP M.Commutative monoids all of whose principal ideals are projective[ J ].Semigroup Froum,1973 (6):334-339.
  • 2[2]YAMADA M.Regular semigroups whose idempotents satisfy permutation identities[ J ].Pacific J Math,1967 (21):371 -397.
  • 3[3]RESTIVO A,REVTENAVER C.On the Burnside problem for semigroups[J].J Algebra,1984 (89):102-104.
  • 4[4]LONG D Y.On an ample and essential condition of the Shevrin problem[ J ].Shuxue Niankan,1992 (3):360 -363.
  • 5[5]TANG X D.On a theorem of C-wrpp semigroups[J].Comm.Algebra,1997 (25):1449-1504.
  • 6[6]DU L,SHUM K P.On left C -wrpp semigroups[J].Semigroup Forum,2003(67):373 -387.
  • 7[7]GUO X J.Abundant semigroups whose idempotents satisfy permutation identities[J].Semigroup Forum,1997 (54):317-326.

共引文献4

同被引文献25

  • 1Yamada M. Regular semigroups whose idempotents satisfy permutation identities[ J ]. Pacific J Math, 1967,21:371-397.
  • 2X.J. Guo, Abundant semigroups whose idempotents satisfy permutation identities[ J]. Semigroup Forum, 1997,54:317-326.
  • 3X.J. Guo, Structures of PI-strong rpp semigroups[ J]. Kexue Tongbao (Chinese) ,1996,41:1647-1650.
  • 4TANG X D. On a theorem of C-wrpp semigroups[J]. Comm. Algebra, 1997,25 : 1449-1504.
  • 5DU L, SHUM K P. On left C-wrpp semigroups[ J]. Semigroup Forum,2003,67:373-387.
  • 6J.M. Howie, Fundamentals of Semigroup Theory[ M]. London :Academic Press,1995.
  • 7M. Kilp. Commutative monoids all of whose principal ideals are projectiv[ J]. Semigroup Froum, 1973 (6) : 334-339.
  • 8J.B. Fountain. Right pp monoids with central idempotents[ J]. Semigroup Forum, 1977,13:229-237.
  • 9P.Y. Zhu, Y.Q. Guo, K. P. Shum. The characterization and structure of left Clifford semigroups [ J ]. Science Bull, 1991 (6) :582-590.
  • 10Y.Q. Guo, K.P. Shum,P. Y. Zhu. The structure of left C-rpp semigroups[ J]. Semigroup Forum, 1995,50:9-13.

引证文献3

二级引证文献1

长春师范学院学报（自然科学版）
2007年 第3期

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