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

VL - 54

SP - 505

EP - 517

JO - Publicacions Matematiques

JF - Publicacions Matematiques

SN - 0214-1493

ER -