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https://open.uns.ac.rs/handle/123456789/28177
Title: | A Note on Free Idempotent Generated Semigroups over the Full Monoid of Partial Transformations | Authors: | Dolinka Igor | Issue Date: | 2013 | Journal: | Communications in Algebra | Abstract: | Recently, Gray and Ruškuc proved that if e is a rank k idempotent transformation of the set {1,..., n} to itself and k ≤ n - 2, then the maximal subgroup of the free idempotent generated semigroup over the full transformation monoid In containing e is isomorphic to the symmetric group Lk. We prove that the same holds when In is replaced by PIn, the full monoid of partial transformations on {1,..., n}. © 2013 Copyright Taylor and Francis Group, LLC. | URI: | https://open.uns.ac.rs/handle/123456789/28177 | ISSN: | 0092-7872 1532-4125 |
DOI: | 10.1080/00927872.2011.607875 |
Appears in Collections: | PMF Publikacije/Publications |
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