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半群CS_n的秩 被引量:11

On the Rank of the Semigroup CS_n
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摘要 设Singn和Cn分别是Xn上的奇异变换半群和循环群.考虑变换半群CSn=CnUSingn,证明了变换半群CSn的秩为[n/2]+1. Let Singn and Cn be the singular transformation semigroup and cyclic group on Xn respectively. We consider the transformation semigroup CSn = Cn U Singn. This paper proves that on the rank of the semigroup CSn is equal to [n/2] + 1.
作者 张钱 赵平 ZHANG Qian;ZHAO Ping(School of Mathematics Science, Guizhou Normal University, Guiyang 550001, China)
出处 《数学的实践与认识》 北大核心 2018年第11期241-246,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(11461014) 贵州省科学技术基金(黔科合J字LKLS[2013]31号)
关键词 奇异变换半群 循环群 singular transformation semigroup cyclic group rank
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  • 1GARBA G U. On the idempotent ranks of certain semigroups of order-preserving transformations [J]. Portugal Math, 1994, 51: 185-204.
  • 2GOMES G M S, HOWIE J M. On the ranks of certain semigroups of order-preserving transfor- mations [J]. Semigroup Forum, 1992, 45: 272-282.
  • 3GOMES G M S, HOWIE J M. On the ranks of certain finite semigroups of transformations [J]. Math Proc Camb Phil Soc, 1987, 101: 395-403.
  • 4HOWIE J M, RIBEIRD M I M. Rank properties in finite semigroups [J]. Commun Algebra, 1999, 27: 5333-5347.
  • 5HOWIE J M, MCFADDEN R B. Idempotent rank in finite full transformation semigroups [J]. Proc Roy Soc Edinburgh Sect A, 1990, 114: 161-167.
  • 6LEVI I. Nilpotent ranks of semigroups of partial transformations [J]. Semigroup Forum, 2006, 72: 459-476.
  • 7UMAR A. On the ranks of certain finite semigroups of order-decreasing transformations [J]. Por- tugal Math, 1996, 53: 23-34.
  • 8YANG X L. On the nilpotent ranks of the factors of order-preserving transformation semigroups [J]. Semigroup Forum, 1998, 57: 331-340.
  • 9BARNES G, LEVI I. On idempotent ranks of semigroups of partial transformations [J]. Semigroup Forum, 2005, 70: 81-96.
  • 10CHERUBINI A, HOWIE J M, Piochi B. Rank and status in semigroup theory [J]. Commun Algebra, 2004, 32: 2783-2801.

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