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http://hdl.handle.net/10362/5490
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| Title: | Largest 2-generated subsemigroups of the symmetric inverse semigroup |
| Authors: | Fernandes, Vitor H.
André, Jorge M.
Mitchell, James D. |
| Issue Date: | 2007 |
| Publisher: | Cambridge University Press |
| Abstract: | The symmetric inverse monoid In is the set of all partial permutations of an n-element set. The largest possible size of a 2-generated subsemigroup of In is determined. Examples of semigroups with these sizes are given. Consequently, if M(n) denotes this maximum, it is shown that M(n)/|In| → 1 as n → ∞. Furthermore, we may deduce, the already known fact, that In embeds as a local submonoid of an inverse 2-generated subsemigroup of In+1. |
| Description: | Proceedings of the Edinburgh Mathematical Society, nº50 (2007), p.551-561 |
| URI: | http://hdl.handle.net/10362/5490 |
| Appears in Collections: | FCT: DM - Artigos em revista internacional com arbitragem científica
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