REGULARITY OF TRANSFORMATION SEMIGROUPS DEFINED BY A PARTITION

Title & Authors
REGULARITY OF TRANSFORMATION SEMIGROUPS DEFINED BY A PARTITION
Purisang, Pattama; Rakbud, Jittisak;

Abstract
Let X be a nonempty set, and let $\mathfrak{F} Keywords full transformation semigroup;regular element;character; Language English Cited by References 1. R. Chinram, Green's relations and regularity of generalized semigroups of linear transformations, Lobachevskii J. Math. 30 (2009), no. 4, 253-256. 2. A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups. Vol. I, Mathematical Surveys, No. 7, American Mathematical Society, Providence, RI, USA, 1961. 3. A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups. Vol. II, Mathematical Surveys, No. 7, American Mathematical Society, Providence, RI, USA, 1967. 4. L.-Z. Deng, J.-W. Zeng, and B. Xu, Green's relations and regularity for semigroups of transformations that preserve double direction equivalence, Semigroup Forum 80 (2010), no. 3, 416-425. 5. P. Honyam and J. Sanwong, Semigroups of transformations with invariant set, J. Korean Math. Soc. 48 (2011), no. 2, 289-300. 6. P. Honyam and J. Sanwong, Semigroups of linear transformations with invariant subspaces, Int. J. Algebra 6 (2012), no. 8, 375-386. 7. Y. Kemprasit and T. Changphas, Regular order-preserving transformation semigroups, Bull. Austral. Math. Soc. 62 (2000), no. 3, 511-524. 8. S. Lei and P. Huisheng, Green's relations on semigroups of transformations preserving two equivalence relations, J. Math. Res. Exposition 29 (2009), no. 3, 415-422. 9. W. Mora and Y. Kemprasit, Regular elements of some order-preserving transformation semigroups, Int. J. Algebra 4 (2010), no. 13, 631-641. 10. S. Nenthein, P. Youngkhong, and Y. Kemprasit, Regular elements of some transformation semigroups, Pure Math. Appl. 16 (2005), no. 3, 307-314. 11. H. Pei, Equivalences,${\alpha}$-semigroups and${\alpha}\$-congruences, Semigroup Forum 49 (1994), no. 1, 49-58.

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