Some combinatorial problems in the theory of symmetric inverse semigroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Some combinatorial problems in the theory of symmetric inverse semigroups
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| Creator |
Umar, A.
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| Description |
Let Xn={1,2,⋯,n} and let α:Domα⊆Xn→Imα⊆Xn be a (partial) transformation on Xn. On a partial one-one mapping of Xn the following parameters are defined: the height of α is h(α)=|Imα|, the right [left] waist of α is w+(α)=max(Imα)[w−(α)=min(Imα)], and fix of α is denoted by f(α), and defined by f(α)=|{x∈Xn:xα=x}|. The cardinalities of some equivalences defined by equalities of these parameters on In, the semigroup of partial one-one mappings of Xn, and some of its notable subsemigroups that have been computed are gathered together and the open problems highlighted.
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| Date |
2019-06-15T16:43:30Z
2019-06-15T16:43:30Z 2010 |
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| Type |
Article
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| Identifier |
Some combinatorial problems in the theory of symmetric inverse semigroups / A. Umar // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 113–124. — Бібліогр.: 32 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:20M18, 20M20, 05A10, 05A15 http://dspace.nbuv.gov.ua/handle/123456789/154602 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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