Permutability of normal extensions of a semilattice |
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Authors: | Brunetto Piochi |
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Institution: | (1) Dipartimento di Matematica dell'Università, Via del Capitano 15, I 53100 Siena |
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Abstract: | LetS be a semigroup;S is said to bepermutable if, for some integern, every product ofn elements ofS can be re-ordered. We prove that every normal extension of a semilattice by an inverse permutable semigroupsis permutable.
Also, some properties of permutable groups are extended to inverse semigroups. |
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Keywords: | |
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