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Authors
Advisor(s)
Abstract(s)
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 of a group G on a semilattice E, it is proved that E*G 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.
Description
Keywords
E-unitary inverse semigroup Howson’s theorem locally finite action semidirect product of a semilattice by a group.
Citation
SILVA, Pedro V.; SOARES, Filipa. - Howson's property for semidirect products of semilattices by groups. Communications in Algebra. ISSN 0092-7872. Vol. 44, N.º 6, (2016), pp. 2482–2494
Publisher
Taylor & Francis