Open Access
2010 Some examples of bands with two components
Ferran Cedó, Elena Rodríguez-Jorge
Publ. Mat. 54(2): 505-517 (2010).


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 F. Cedó and J. Okniński, "Faithful linear representations of bands," Publ. Mat. 53 (1) (2009), 119–140 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 Cedó and Okniński cannot be embedded into any Noetherian ring, even in the case where this algebra is reduced.


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Ferran Cedó. Elena Rodríguez-Jorge. "Some examples of bands with two components." Publ. Mat. 54 (2) 505 - 517, 2010.


Published: 2010
First available in Project Euclid: 28 June 2010

zbMATH: 1215.20058
MathSciNet: MR2675935

Primary: 16R20 , 16S36 , 20M25

Keywords: Band , semigroup algebra , triangular matrices

Rights: Copyright © 2010 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.54 • No. 2 • 2010
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