摘要
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.
- 出版日期2010