Some examples of bands with two components

Ferran Cedó, Elena Rodrìguez-Jorge

Research output: Contribution to journalArticleResearchpeer-review

Abstract

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.
Original languageEnglish
Pages (from-to)505-517
JournalPublicacions Matematiques
Volume54
DOIs
Publication statusPublished - 1 Jan 2010

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