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Vietnam Journal of Mathematics 34:4(2006) 441-447

  The Translational Hull of a Strongly Right or Left Adequate Semigroup

X. M. Ren and K. P. Shum

Abstract.  We prove that the translational hull of a strongly right or left adequate semigroup is still of the same type. Our result amplifies a well known result of Fountain and Lawson on translational hull of an adequate semigroup given in 1985.

2000 Mathematics Subject Classification: 20M10.

Keywords: Translational hulls, right adequate semigroups, strongly right adequate semigroups.

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