L- and R-cross-section in the Brauer semigroup
Abstract
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.
Keywords
matematika;algebra;polgrupe transformacij;prečni prerezi;Brauerjeva polgrupa;Greenove relacije;ekvivalence;mathematics;semigroups of transformations;cross-sections;Brauer semigroups;Green relations;equivalences;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2006 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UNG - University of Nova Gorica |
| UDC: | 512.534 |
| COBISS: |
874235
|
| ISSN: | 0037-1912 |
| Views: | 4487 |
| Downloads: | 151 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | Unknown |
|---|---|
| Secondary keywords: | mathematics;algebra;semigroups of transformations;cross-sections;Brauer semigroups;Green relations;equivalences; |
| URN: | URN:SI:UNG |
| Type (COBISS): | Not categorized |
| Pages: | str. 223-248 |
| Volume: | ǂVol. ǂ72 |
| Issue: | ǂno. ǂ2 |
| Chronology: | 2006 |
| Keywords (UDC): | mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;algebra;algebra; |
| DOI: | 10.1007/s00233-005-0511-3 |
| ID: | 1471755 |
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