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https://open.uns.ac.rs/handle/123456789/30945
Title: | Idempotent rank in the endomorphism monoid of a nonuniform partition | Authors: | Dolinka Igor East James Mitchell James D. |
Issue Date: | 2016 | Journal: | Bulletin of the Australian Mathematical Society | Abstract: | © 2015 Australian Mathematical Publishing Association Inc. We calculate the rank and idempotent rank of the semigroup ε(X; P) generated by the idempotents of the semigroup T(X;P) which consists of all transformations of the finite set X preserving a nonuniform partition P. We also classify and enumerate the idempotent generating sets of minimal possible size. This extends results of the first two authors in the uniform case. | URI: | https://open.uns.ac.rs/handle/123456789/30945 | ISSN: | 0004-9727 | DOI: | 10.1017/S0004972715000751 |
Appears in Collections: | PMF Publikacije/Publications |
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