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- W2051707156 abstract "Abstract In a previous paper ([14]) the author showed that a free inverse semigroup is determined by its lattice of inverse subsemigroups, in the sense that for any inverse semigroup T , implies . (In fact, the lattice isomorphism is induced by an isomorphism of upon T .) In this paper the results leading up to that theorem are generalized (from completely semisimple to arbitrary inverse semigroups) and applied to various classes, including simple, fundamental and E -unitary inverse semigroups. In particular it is shown that the free product of two groups in the category of inverse semigroups is determined by its lattice of inverse subsemigroups." @default.
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- W2051707156 date "1981-02-01" @default.
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- W2051707156 title "Inverse semigroups determined by their lattices of inverse subsemigroups" @default.
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- W2051707156 doi "https://doi.org/10.1017/s1446788700017213" @default.
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