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arXiv · 1903.02911

Tight and cover-to-join representations of semilattices and inverse semigroups

Ruy Exel
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Abstract

We discuss the relationship between tight and cover-to-join representations of semilattices and inverse semigroups, showing that a slight extension of the former, together with an appropriate selection of co-domains, makes the two notions equivalent. As a consequence, when constructing universal objects based on them, one is allowed to substitute cover-to-join for tight and vice-versa.

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Ruy Exel. 2019-03-07. Tight and cover-to-join representations of semilattices and inverse semigroups. https://arxiv.org/abs/1903.02911

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