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Regularity of a Particular Subsemigroup of the Semigroup of Transformations Preserving an Equivalence

Jittisak Rakbud
경북대학교 자연과학대학 수학과|2018.12|Kyungpook Mathematical Journal|제58권 제4호|pp. 627-635

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참고문헌

키워드

characterregularityfull transformation semigroupweak regularity
주제분류수학

초록

In this paper, we use the notion of characters of transformations provided in [8] by Purisang and Rakbud to de ne a notion of weak regularity of transformations on an arbitrarily xed set X. The regularity of a semigroup of weakly regular transformations on a set X is also investigated.

Abstract

In this paper, we use the notion of characters of transformations provided in [8] by Purisang and Rakbud to de ne a notion of weak regularity of transformations on an arbitrarily xed set X. The regularity of a semigroup of weakly regular transformations on a set X is also investigated.

참고문헌 (11)

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  2. V. H. Fernandes, "On semigroups of orientation-preserving transformations with restricted range", Comm. Algebra, 44(1), pp.253~264 (2016)
  3. Preeyanuch Honyam, "SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET", 대한수학회지, 48(2), pp.289~300 (2011), 대한수학회
  4. P. Huisheng, "Equivalences, α-semigroups and α-congruences", Semigroup Forum, 49(1), pp.49~58 (1994)
  5. P. Huisheng, "Regularity and Green's relations for semigroups of transformations that preserve an equivalence", Commun. Algebra, 33(1), pp.109~118 (2005)
  6. P. Huisheng, "Green's equivalences on semigroups of transformations preserving order and an equivalence relation", Semigroup Forum, 71(2), pp.241~251 (2005)
  7. S. Nenthein, "Regular of elements of some trans-formation semigroups", Pure Math. Appl, 16(3), pp.307~314 (2005)
  8. Pattama Purisang, "Regularity of transformation semigroups defined by a partition", 대한수학회논문집, 31(2), pp.217~227 (2016), 대한수학회
  9. J. Sanwong, "The regular part of a semigroup of transformations with restricted range", Semigroup Forum, 83(1), pp.134~146 (2011)
  10. J. Sanwong, "Regularity and Green's relations on a semigroup of transformations with restricted range", Int. J. Math. Math. Sci, pp.11~ (2008)
  11. K. Tinpun, "Relative rank of the finite full transformation semigroup with restricted range", Acta Math. Univ. Comenian, 85(2), pp.347~356 (2016)

관련 논문AI추천

Remarks on isomorphisms of transformation semigroups restricted by an equivalence relationChaiwat Namnak, Nares Sawatraksa대한수학회 · 대한수학회논문집2018 · 제33권 제3호Comments on "Regularity of a Particular Subsemigroup of the Semigroup of Transformations Preserving an Equivalence"Mosarof Sarkar, Shubh Narayan Singh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제65권 제1호On the Semigroup of partition-preserving transformations whose characters are bijectiveMosarof Sarkar, Shubh N. Singh대한수학회 · 대한수학회보2024 · 제61권 제1호Regularity of transformation semigroups defined by a partitionJittisak Rakbud, Pattama Purisang대한수학회 · 대한수학회논문집2016 · 제31권 제2호Magnifying elements in a semigroup of transformations preserving equivalence relationMontakarn Petapirak, Ronnason Chinram, Thananya Kaewnoi강원경기수학회 · 한국수학논문집2019 · 제27권 제2호REGULARITY AND GREEN'S RELATIONS ON SEMIGROUPS OF TRANSFORMATION PRESERVING ORDER AND COMPRESSIONMei Yang, Ping Zhao대한수학회 · 대한수학회보2012 · 제49권 제5호

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