Rings Associated to Bands with Two Components

Ferran Cedó, Elena Rodríguez-Jorge

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A band is a semigroup whose elements are idempotents. It is proved that for any field K the commutative K-algebra, constructed in [2], associated to a band S with two components E, F such that EFE = F, is a reduced ring. Thus the semigroup algebra K[S] can be embedded in upper triangular matrices over a commutative reduced K-algebra. © 2010 Copyright Taylor and Francis Group, LLC.
Original languageEnglish
Pages (from-to)4117-4129
JournalCommunications in Algebra
Issue number11
Publication statusPublished - 1 Nov 2010


  • Band
  • Reduced ring
  • Semigroup algebra
  • Triangular matrices


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