Green's Relations for the Variants of Transformation Semigroups Preserving an Equivalence Relation

REFERENCES

• Araujo , J. , Konieczny , J. ( 2004 ). Semigroups of transformations preserving an equivalence relation and a cross-section . Communications in Algebra 32 ( 5 ): 1917 – 1935 .
   Web of Science ®Google Scholar
• Hickey , J. B. ( 1983 ). Semigroup under a sandwich operation . Proc. Edinburgh Math. Soc. 26 : 371 – 382 .
   Web of Science ®Google Scholar
• Howie , J. M. (1995). Fundamentals of Semigroup Theory . Oxford : Oxford University Press.
   Google Scholar
• Magill , K. D. Jr. , Subbiah , S. ( 1974 ). Green's relations for regular elements of semigroups of endomorphisms . Can. J. Math. 26 : 1484 – 1497 .
   Web of Science ®Google Scholar
• Magill , K. D. Jr. , Subbiah , S. ( 1975 ). Green's relations for regular elements of Sandwich semigroup, (I) general results . Proc. London Math. Soc. 3 ( 31 ): 194 – 210 .
   Google Scholar
• Magill , K. D. Jr. , Subbiah , S. ( 1978 ). Green's relations for regular elements of Sandwich semigroup, (II) semigroups of continuous function . J. Austral. Math. Soc. 25 ( A ): 45 – 65 .
   Google Scholar
• Magill , K. D. Jr. , Misra , P. R. , Tewari , U. B. ( 1983 ). Symons'd-congruence on sandwich semigroups . Czec. Math. J. 33 : 221 – 236 .
   Google Scholar
• Pei , H. ( 1994 ). Equivalences, α-semigroups and α-congruences . Semigroup Forum 49 : 49 – 58 .
   Web of Science ®Google Scholar
• Pei , H. ( 1996 ). A regular α-semigroup inducing a certain lattice . Semigroup Forum 53 : 98 – 113 .
   Google Scholar
• Pei , H. ( 1998 ). Some α-semigroups inducing certain lattices . Semigroup Forum 57 : 48 – 59 .
   Google Scholar
• Pei , H. ( 1999 ). A unique atom in [C(ω), Cα(ω)] . East-West J. Math. 1 ( 2 ): 197 – 205 .
   Google Scholar
• Pei , H. ( 2005 ). Regularity and Green's relations for semigroups of transformations which preserve an equivalence . Communications in Algebra 33 : 109 – 118 .
   Web of Science ®Google Scholar
• Pei , H. , Xu , Y. ( 1996a ). α-congruences on variants of S(X), (I) general results . J. Xinyang Teachers College 9 ( 2 ): 106 – 115 .
   Google Scholar
• Pei , H. , Xu , Y. ( 1996b ). α-congruences on variants of S(X), (II) α-congruences . J. Xinyang Teachers College 9 ( 3 ): 217 – 225 .
   Google Scholar
• Pei , H. , Guo , Y. ( 2000 ). Some congruences on S(X) . Southeast Asian Bull. Math. 24 : 73 – 83 .
   Google Scholar
• Symons , J. S. V. ( 1975 ). On a generalization of the transformation semigroup . J. Austral. Math. Soc. 19 ( A ): 47 – 61 .
   Google Scholar
• Communicated by V. Gould.
   Google Scholar