F–semigroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
F–semigroups
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| Creator |
Giraldes, E.
Marques-Smith, P. Mitsch, H. |
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| Description |
A semigroup S is called F- semigroup if there exists a group-congruence ρ on S such that every ρ-class contains a greatest element with respect to the natural partial order ≤S of S (see [8]). This generalizes the concept of F-inverse semigroups introduced by V. Wagner [12] and investigated in [7]. Five different characterizations of general F-semigroups S are given: by means of residuals, by special principal anticones, by properties of the set of idempotents, by the maximal elements in (S,≤S) and finally, an axiomatic one using an additional unary operation. Also F-semigroups in special classes are considered; in particular, inflations of semigroups and strong semilattices of monoids are studied.
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| Date |
2019-06-10T14:35:05Z
2019-06-10T14:35:05Z 2007 |
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| Type |
Article
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| Identifier |
F–semigroups / E. Giraldes, P. Marques-Smith, H. Mitsch // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 67–85. — Бібліогр.: 12 назв. — англ.
1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/152363 2000 Mathematics Subject Classification:20M10. |
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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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