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Some examples of bands with two components
Cedó, Ferran (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Rodríguez-Jorge, Elena (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date: 2010
Abstract: A band is a semigroup whose elements are idempotents. The paper is motivated by some open problems concerning linear representations of bands. A counterexample to a conjecture stated in [1] is given. On the other hand, it is proved that there exist linear bands with two components such that the associated commutative K-algebra constructed in [1] cannot be embedded into any Noetherian ring, even in the case where this algebra is reduced.
Rights: Tots els drets reservats
Language: Anglès.
Document: article ; recerca ; publishedVersion
Subject: Band ; Semigroup algebra ; Triangular matrices
Published in: Publicacions matemàtiques, Vol. 54, Núm. 2 (2010) , p. 505-517, ISSN 0214-1493

Adreça original: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_54210_11
DOI: 10.5565/PUBLMAT_54210_11


13 p, 157.0 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2010-06-15, last modified 2019-11-29



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