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| dc.contributor.author | Giraldes, E. | |
| dc.contributor.author | Marques-Smith, P. | |
| dc.contributor.author | Mitsch, H. | |
| dc.date.accessioned | 2019-06-10T14:35:05Z | |
| dc.date.available | 2019-06-10T14:35:05Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | F–semigroups / E. Giraldes, P. Marques-Smith, H. Mitsch // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 67–85. — Бібліогр.: 12 назв. — англ. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/152363 | |
| dc.description.abstract | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.title | F–semigroups | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
| dc.identifier.udc | 2000 Mathematics Subject Classification:20M10. |
