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两个全变换半群之间的同态Ⅰ 被引量:2

Homomorphisms of Two Finite Full Transformation Semigroups Ⅰ
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摘要 设Tn是Xn={1,2,…,n}上的全变换半群.Tm是Xm={1,2,…,m}上的全变换半群,本文刻画出当n>m时,Tn到Tm的所有同态,且还得到Tm为Tn的同态像的条件. Let Tnbe the full transformation semigroup on a finite set Xn={1,2,n}.Let Tm be the full transformation semigroup on a finite set Xm ={1,2,m}.This paper describes all homomorphisms fromTnto Tm when nm,and gets the conditions that Tmis the homomorphic image of Tn.
作者 唐慧 杨秀良
出处 《杭州师范大学学报(自然科学版)》 CAS 2015年第5期527-530,共4页 Journal of Hangzhou Normal University(Natural Science Edition)
关键词 全变换半群 同态 同余 full transformation semigroup homomorphism congruences
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参考文献5

  • 1Schein B M, Teclezghi B. Endomorphisms of finite full transformation semigroups [J]. Proceedings of the American Mathematical Soci- ety, 1998, 126(9) :2579-2587.
  • 2黄丽丽,杨秀良.全变换半群的奇异部分的自同态[J].杭州师范大学学报(自然科学版),2012,11(3):249-254. 被引量:1
  • 3林双,杨秀良.全变换半群T_n与对称逆半群IS_n之间的同态[J].浙江大学学报(理学版),2013,40(2):123-126. 被引量:2
  • 4Ganyushkin O, Mazorchuk V. Introduction to Classical Finite Transformation Semigroups IMp. London: Springer Verlag,2009.
  • 5Howie J M. Fundamentals of semigroups theoryEM:. Oxford: Oxford University Press, 1995.

二级参考文献7

  • 1Schreier 1. Uber abbildungen einer abstrakten menge aufihre teilmengen[J]. Fund Math,1936,28:261-264.
  • 2Schein B M, Teclezghi B. Endomorphisms of finite full transformation semigroups[J]. Proceedings of The American Mathematical Society, 1998,126(9): 2579-2587.
  • 3Ganyushkin O, Mazorehuk V. Classical finite transformation semigroups:an introduetion[M]. London: Springer Verlag, 2009.
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  • 7GANYUSHKIN 0,MAZORCHUK V. Introductionto Classical Finite Transformation Semigroups [ M].London: Springer-Verlag,2009.

共引文献1

同被引文献9

  • 1SCHEIN B M, TECLEZGHI B. Endomorphisms of Finite Full Transformation Semigroups [J]. Proceedings of The American Mathe- matical Society, 1998, 126(9):2579-2587.
  • 2GANYUSHKIN O, Mazorchuk V. Introduction to Classical Finite Transformation Semigroups I-M]. London: Springer Verlag,2009.
  • 3DOSS C. Certain equivalence relation in transformation semigroups[D]. Nashville: Univ of Tennessee, 1955.
  • 4MAL'SEV A. Symmetric groupoids [J]. Mat Sbornik,1952,73(1):136-152.
  • 5SCHEIN B M, TECLEZGHI B. Endomorphisms of Finite Full Transformation Semigroups [J]. Proceedings of The American Mathe- matical Society, 1998,126(9) .. 2579-2587.
  • 6GANNUSHKIN O, MAZORCHUK V. Classical Finite Transformation Semigroups [M]. London: Springer Verlag,2009.
  • 7DOSS C. Certain equivalence relation in transformation semigroups [D]. Nashville: Univ of Tennessee,1955.
  • 8Mal'tsev A I. Symmetric groupoids [J]. Mat Sbornik N S,1952,73(1):186-151.
  • 9唐慧,杨秀良.两个全变换半群之间的同态Ⅱ[J].杭州师范大学学报(自然科学版),2016,15(2):178-183. 被引量:1

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