Home > Articles > Published articles > Some examples of bands with two components |
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 |
13 p, 157.0 KB |