Title

Semigroup closures of finite rank symmetric inverse semigroups

Document Type

Article

Publication Date

3-1-2009

Abstract

We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion. As a corollary we show that the symmetric inverse semigroup of finite transformations I λn of the rank ≤ n is algebraically closed in the class of (semi)topological inverse semigroups with continuous inversion. We also derive related results about the nonexistence of (partial) compactifications of classes of semigroups that we consider. © 2008 Springer Science+Business Media, LLC.

Publication Source (Journal or Book title)

Semigroup Forum

First Page

326

Last Page

336

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