| Title: | L- and R-cross-section in the Brauer semigroup |
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| Authors: | ID Kudryavtseva, Ganna (Author)
ID Maltcev, Victor (Author)
ID Mazorchuk, Volodymyr (Author) |
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| Files: |  http://dx.doi.org/10.1007/s00233-005-0511-3
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| 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. |
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| Keywords: | matematika, algebra, polgrupe transformacij, prečni prerezi, Brauerjeva polgrupa, Greenove relacije, ekvivalence |
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| Year of publishing: | 2006 |
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| Number of pages: | str. 223-248 |
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| Numbering: | Vol. 72, no. 2 |
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| PID: | 20.500.12556/RUNG-1190  |
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| COBISS.SI-ID: | 874235 |
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| ISSN: | 0037-1912 |
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| UDC: | 512.534 |
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| NUK URN: | URN:SI:UNG:REP:31A8RDKL |
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| Publication date in RUNG: | 15.10.2013 |
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| Views: | 5256 |
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| Downloads: | 155 |
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| Metadata: |     |
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