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OALib Journal期刊
ISSN: 2333-9721
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半群U(n,r)的秩和拟幂等元秩
DOI: doi:10.3969/j.issn.1001-8395.2015.04.008, PP. 508-513
Keywords: 保降序,保序,奇异变换半群,秩,拟幂等元秩,相关秩
Abstract:
设自然数n≥3,Un是有限链n上的保降序且保序部分一一奇异变换半群.对任意的r(0≤r≤n-1),记U(n,r)={α∈Un|Imα|≤r}为半群Un的双边星理想.通过对其拟幂等元和星格林关系的分析,分别获得了半群U(n,r)的唯一的极小拟幂等元生成集,秩和拟幂等元秩.进一步确定了当0≤l≤r时,半群U(n,r)关于其星理想U(n,l)的相关秩.
| [1] | 裴惠生,邹定宇,李连兵. 降序且保序的有限全变换半群[J]. 信阳师范学院学报:自然科学版,2006,19(4):373-377.
|
| [2] | 罗永贵,徐波,游泰杰. 半群Hn的每个星理想的秩和幂等元秩[J]. 四川师范大学学报:自然科学版,2014,37(1):58-61.
|
| [3] | 罗永贵,徐波,游泰杰. 半群PHn的每个星理想的秩和幂等元秩[J]. 山东大学学报:理学版,2013,48(2):42-48.
|
| [4] | Umar A. On the semigroups of order-decreasing finite full transformations[J]. Proc Royal Soc Edin,1992,A120:129-142.
|
| [5] | Umar A. On the ranks of certain finite semigroups of order-decreasing transformations[J]. Portugaliae Math,1996,53(1):23-34.
|
| [6] | Gomes G M S, Howie J M. On the ranks of certain semigroups of order-preserving transformations[J]. Semigroup Forum,1992,45(1):272-282.
|
| [7] | Garba G U. On the idempotent ranks of certain semigroups of order-preserving transformations[J]. Portugaliae Math,1994,51(2):185-204.
|
| [8] | Howie J M. Idempotent generators in finite full transformation semigroup[J]. Proc Royal Soc Edin,1978,A101:317-323.
|
| [9] | Howie J M, McFadden R B. Idenpotent rank in finite full transformation semigroup[J]. Proc Royal Soc Edin,1990,A114:161-167.
|
| [10] | Howie J M,Rukuc N, Higgins P M. On relative ranks of full transformation semigroups[J]. Commun Algebra,1998,26(3):733-748.
|
| [11] | 高荣海. 具有稳定子集的有限奇异变换半群的幂等生成元[J]. 四川师范大学学报:自然科学版,2010,33(6):778-783.
|
| [12] | 高荣海,喻秉钧. 保序压缩变换半群的理想的极大子半群[J]. 四川师范大学学报:自然科学版,2014,37(5):643-648.
|
| [13] | 兰丙申,喻秉钧. 拟纯正半群的E-酉拟纯正盖[J]. 四川师范大学学报:自然科学版,2012,35(5):581-584.
|
| [14] | 龙伟锋,徐波,游泰杰,等. 保E且严格保序部分一一变换半群的秩[J]. 四川师范大学学报:自然科学版,2014,37(3):316-319.
|
| [15] | Fountain J B. Abundant semigroups[J]. Proc London Math Soc,1982,44(3):103-129.
|
| [16] | Howie J M. Fundamentals of Semigroup Theory[M]. Oxford:Oxford University Press,1995.
|
| [17] | Ganyushkin O, Mazorchuk V. Classical Finite Transformation Semigroups[M]. London:Springer-Verlag,2009.
|
| [18] | Rukuc N. Semigroup Presentations[D]. St Andrews:University of St Andrews,1995.
|
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