TY - JOUR
T1 - Some examples of bands with two components
AU - Cedó, Ferran
AU - Rodrìguez-Jorge, Elena
PY - 2010/1/1
Y1 - 2010/1/1
N2 - A band is a semigroup whose elements are idempotents. The paper is motivated by some open problems concerning linear representations of bands. A counter example 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. © 2009 Departament de Matemàtiques Universitat Autònoma de Barcelona.
AB - A band is a semigroup whose elements are idempotents. The paper is motivated by some open problems concerning linear representations of bands. A counter example 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. © 2009 Departament de Matemàtiques Universitat Autònoma de Barcelona.
U2 - https://doi.org/10.5565/PUBLMAT_54210_11
DO - https://doi.org/10.5565/PUBLMAT_54210_11
M3 - Article
SN - 0214-1493
VL - 54
SP - 505
EP - 517
JO - Publicacions Matematiques
JF - Publicacions Matematiques
ER -