Howson's Property for Semidirect Products of Semilattices by Groups |
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| Authors: | Pedro V. Silva |
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| Affiliation: | Centro de Matemática, Faculdade de Ciências, Universidade do Porto, Porto, Portugal |
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| Abstract: | An inverse semigroup S is a Howson inverse semigroup if the intersection of finitely generated inverse subsemigroups of S is finitely generated. Given a locally finite action θ of a group G on a semilattice E, it is proved that E*θG is a Howson inverse semigroup if and only if G is a Howson group. It is also shown that this equivalence fails for arbitrary actions. |
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| Keywords: | E-unitary inverse semigroup Howson's theorem Locally finite action Semidirect product of a semilattice by a group |
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