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半群PO_n中理想的非群元秩和相关秩 被引量：5

Non-group rank and relative rank of each ideal of the semigroup PO_n
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摘要 设POn是有限链[n]上的保序部分奇异变换半群.对任意的r(2≤r≤n-1),考虑半群M(n,r)={α∈POn:|Imα|≤r}的非群元秩和非幂等元秩.证明了M(n,r)是由秩为r的元素生成的.确定了当0≤l≤r时,半群M(n,r)关于其理想M(n,l)的相关秩. Let PO,, be the semigroup of all order-preserving partial singular transformations on a finite-chain En]. For an arbitrary integer r（2≤r≤n-1）,the non-group rank and non-idempotent rank of thesemigroupM（n,r）={α∈POn：｜Imα｜≤r} were studied. We proved that M（n,r） is generated byelements of rank r. Furthermore, it is shown that for0≤l≤r, the relative rank of the semigroupM（n,r） with respect to itself each ideal M（n,l）.
作者 罗永贵 瞿云云
机构地区 贵州师范大学数学与计算机科学学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2014年第3期20-27,共8页 Journal of Northeast Normal University(Natural Science Edition)
基金 贵州省科学技术基金资助项目(黔科合J字LKS(2011)15号)
关键词 部分保序 奇异变换半群 非群元秩和非幂等元秩 相关秩 partial order-preserving singular transformation semigroup non-group rank and non-idempotent rank relative rank
分类号 O152.7 [理学—基础数学]
  • 相关文献

参考文献12

  • 1GOMES G M S. HOWIE 1 M. On the ranks of certain sernigroups of order-preserving transformations[J]. Semigroup Forum. 1992.45(1) :272-282.
  • 2GARBA G U. On the idempotent ranks of certain sernigroups of order-preserving transformations[J]. Portugaliae Mathernatica , 1994.51(2):185-204.
  • 3XIULIANG YANG. Non-group ranks in finite full transformation semigroups[J]. Semigroup Forum.1998.57 :42-47.
  • 4HOWIE 1 M. RUSKUC N. HIGGINS P M. On relative ranks of full transformation semigroups[J]. Communication in Algebra. 1998.26(3) :733-748.
  • 5ARA U10 1 ? SCHNEIDER C. The rank of the endomorphism monoid of a uniform partition[J]. Semigroup Forum. 2009. 78: 498-510.
  • 6GREEN 1 A. On the structure of semigroups] I}. The Ann of Math.1951.54(1): 163-172.
  • 7HOWIE 1 M. Fundamentals of semigroup theoryj M]. Oxford: Oxford University Press. 1995 ,1-64.
  • 8GANYUSHKIN O.MAZORCHUK V. Classical finite transformation semigroups[M]. London:Springer-Verlag.2009,1-89.
  • 9RUSKUC N. Semigroup presentationsj D]. St Andrews. Scotland: University of St Andrews.1995.
  • 10钟裕林,霍元极.奇异典型群作用下子空间轨道的长度[J].东北师大学报（自然科学版）,2012,44(1):36-40. 被引量：6

二级参考文献22

  • 1佟文廷.关于伪投射模[J].Journal of Mathematical Research and Exposition,1996,16(3):355-358. 被引量：3
  • 2赵春娥,杜先能.关于伪投射模的若干讨论[J].大学数学,2006,22(3):100-102. 被引量：7
  • 3WAN ZHEXIAN.Geometry of classical groups over finite fieldsb second edition[M].Beijing,New York:Science Press,2002:131-250.
  • 4LIU Y,WAN Z.Pseudo-symplectic geometrie over finite field of characteristic two[C]//HIRSCHFELD J W P.Advance inFinite Geometries and Designs,Oxford:Oxford University Press,1991:265-288.
  • 5VAN LINT J H,WILSON R M.A curse in commbi-nalorics[M].Second Edition.北京:机械工业出版社,2004:325-332.
  • 6GOLAN J S.The theory of semirings with applications in mathematics and theoretical computer[M].London:Longman Science&Technical,1992:54-79.
  • 7HUDA MOHAMMED,ALTHANI J.A note on projective semimodules[J].Kobe J MATH,1995,12:89-94.
  • 8HUDA MOHAMMED,ALTHANI J.k-projective semimodules[J].Kobe J MATH,1996,13:49-59.
  • 9AHSAN J,SHABIR M.Semirings with projective ideals[J].Math Japonica,1993,38(2):271-276.
  • 10ROTMAN J.An introduction to homological algebra[M].San-Francisco,London,New York:Academic Press,1979:25-60.

共引文献17

同被引文献16

  • 1HaoBoYANG XiuLiangYANG.Maximal Subsemigroups of Finite Transformation Semigroups K(n,r)[J].Acta Mathematica Sinica,English Series,2004,20(3):475-482. 被引量：19
  • 2GOMES G M S, HOWlE J M. On the ranks of certain semigroups of order-preserving transformations[J]. Semigroup Forum, 1992,45 : 272-282.
  • 3UMAR A. On the semigroup of partial one-one order-decreasing finite transformation[J]. Proc Roy Soc Edinburgh, 1993,123A:355-363.
  • 4MADU B A. Quasi-idempotents and quasi-nilpotents in finite transformations semigroups[M]. PhD thesis: Ahmadu Bello University Zaria, 1999 : 20-90.
  • 5MADU B A,GARBA G U. Guasi-idempotents in finite semigroups of order-preserving chains[J]. Research Journal of Science, 2001,7 : 61-64.
  • 6IMAM A T. Subsemigroups generated by quasi-idempotents in certain finite semigroups of mappings[M]. PhD thesis:Ahmadu Bello University Zaria, 2013 : 24-42.
  • 7HOWIE J M. Fundamentals of semigroup theory[M]. Oxford:Oxford University Press, 1995 : 341-343.
  • 8CLIFFORD H,PRESTON G B. The algebraic theory of semigroups, vol1[M]. Providence:Am Math Soe,1961 :xiii-XV.
  • 9赵平,游泰杰,徐波.方向保序变换半群K(n,r)的极大正则子半群[J].吉林大学学报（理学版）,2011,49(2):203-206. 被引量：12
  • 10罗永贵.半群DO_n中理想的秩和相关秩[J].吉林大学学报（理学版）,2013,51(1):69-73. 被引量：10

引证文献5

二级引证文献14

东北师大学报（自然科学版）
2014年 第3期

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