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The generalized
translational hull of a semigroup
John Keith Luedeman |
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Vol. 67 (1976), No. 2, 489–507
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Abstract |
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For a pair (ℛ,ℒ) consisting of a right quotient filter ℛ and left quotient filter ℒ on the semigroup S, a translational hull Ω(S : ℛ,ℒ) is constructed. The results of Grillet and Petrich hold for Ω(S : ℛ,ℒ). Specializing ℛ and ℒ one obtains the usual translational hull Ω(S) of S and the semigroup of quotients Q(S) of S due to Hinkle and McMorris. These results are applied to a weakly reductive semigroup S to show that Ω(S) = Ω(Sn) for any positive integer n. |
Mathematical Subject Classification 2000
Primary: 20M10
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Milestones
Received: 11 June 1975
Revised: 15 April 1976
Published: 1 December 1976
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Authors |
| John Keith Luedeman | |
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