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 ; Versió publicada
Subject:	Band ; Semigroup algebra ; Triangular matrices
Published in:	Publicacions matemàtiques, Vol. 54, Núm. 2 (2010) , p. 505-517, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/191395
DOI: 10.5565/PUBLMAT_54210_11

13 p, 157.0 KB

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