The inverse hull of the free semigroup on a set X |
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| Authors: | Nathaniel Knox |
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| Institution: | (1) Department of Physics and Mathematics, Tennessee State University, 37203 Nashville, Tennessee;(2) Present address: Department of Mathematics, Morgan State University, 21239 Baltimore, Maryland |
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| Abstract: | In this paper the inverse hull  of the free semigroup on a non-empty set X is characterized. It is shown that if FO is a certain semilattice and (G,*) is the free group on X, then is isomorphic to a Rees factor semigroup of a subsemigroup of (FO x G, #), where (A,w)#(B,u) = ((A*w  B)*w–1, w*u). Several properties of , including Green's relations on are also determined. |
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