Semigroup Closures of Finite Rank Symmetric Inverse Semigroups
| dc.creator | Gutik, Oleg | |
| dc.creator | Lawson, Jimmie | |
| dc.creator | Repovš, Dušan | |
| dc.date | 2008-04-09 | |
| dc.date | 2008-08-24 | |
| dc.date.accessioned | 2026-07-07T12:53:22Z | |
| dc.date.available | 2026-07-07T12:53:22Z | |
| dc.description | 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 $\mathscr{I}_λ^n$ of the rank $\leqslant n$ 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. | |
| dc.description | With the participation of the new coauthor - Jimmie Lawson - the manuscript has been substantially revised and expanded. Accordingly, we have also changed the manuscript title | |
| dc.identifier | https://arxiv.org/abs/0804.1439 | |
| dc.identifier | http://arxiv.org/abs/0804.1439 | |
| dc.identifier | Semigroup Forum 78:2 (2009), 326-336. | |
| dc.identifier | doi:10.1007/s00233-008-9112-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223600 | |
| dc.subject | Group Theory | |
| dc.subject | General Topology | |
| dc.subject | 22A15; 20M12; 20M17; 20M20; 20M18; 54C25; 54D40; 54H15; | |
| dc.title | Semigroup Closures of Finite Rank Symmetric Inverse Semigroups | |
| dc.type | text |