L- and R-cross-section in the Brauer semigroup
Povzetek
We classify all cross-sections of Green's relations ▫$\mathcal{L}$▫ and ▫$\mathcal{R}$▫ in the Brauer semigroup. The regular behavior of such cross-sections starts from ▫$n=7$▫. We show that in the regular case there are essentially two different cross-sections and all others are ▫$\mathcal{S}_n$▫-conjugated to one of these two. We also classify all cross-sections up to isomorphism.
Ključne besede
matematika;algebra;polgrupe transformacij;prečni prerezi;Brauerjeva polgrupa;Greenove relacije;ekvivalence;mathematics;semigroups of transformations;cross-sections;Brauer semigroups;Green relations;equivalences;
Podatki
| Jezik: | Angleški jezik |
|---|---|
| Leto izida: | 2006 |
| Tipologija: | 1.01 - Izvirni znanstveni članek |
| Organizacija: | UNG - Univerza v Novi Gorici |
| UDK: | 512.534 |
| COBISS: |
874235
|
| ISSN: | 0037-1912 |
| Št. ogledov: | 4487 |
| Št. prenosov: | 151 |
| Ocena: | 0 (0 glasov) |
| Metapodatki: |
|
Ostali podatki
| Sekundarni jezik: | Neznan jezik |
|---|---|
| Sekundarne ključne besede: | mathematics;algebra;semigroups of transformations;cross-sections;Brauer semigroups;Green relations;equivalences; |
| URN: | URN:SI:UNG |
| Vrsta dela (COBISS): | Delo ni kategorizirano |
| Strani: | str. 223-248 |
| Letnik: | ǂVol. ǂ72 |
| Zvezek: | ǂno. ǂ2 |
| Čas izdaje: | 2006 |
| Ključne besede (UDK): | mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;algebra;algebra; |
| DOI: | 10.1007/s00233-005-0511-3 |
| ID: | 1471755 |
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Visiting Assistant Professor, 1.10.-31.12.2008, Ohio State University, Columbus, Ohio, USA