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Title:L- and R-cross-section in the Brauer semigroup
Authors:Kudryavtseva, Ganna (Author)
Maltcev, Victor (Author)
Mazorchuk, Volodymyr (Author)
Files:URL http://dx.doi.org/10.1007/s00233-005-0511-3
 
Language:English
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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
Year of publishing:2006
Number of pages:str. 223-248
Numbering:Vol. 72, no. 2
COBISS_ID:874235 Link is opened in a new window
ISSN:0037-1912
UDC:512.534
URN:URN:SI:UNG:REP:31A8RDKL
Views:3147
Downloads:114
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Secondary language

Language:Unknown
Keywords:mathematics, algebra, semigroups of transformations, cross-sections, Brauer semigroups, Green relations, equivalences


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