The Ideal Intersection Property for Groupoid Graded Rings

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

We show that, if a groupoid graded ring has a grading satisfying a certain nondegeneracy property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring. Furthermore, we show that for skew groupoid algebras with commutative principal component, the principal component is maximal commutative if and only if it has the ideal intersection property.

Detaljer

Författare
  • Johan Öinert
  • Patrik Lundström
Externa organisationer
  • University of Copenhagen
  • University College West
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)1860-1871
TidskriftCommunications in Algebra
Volym40
Utgåva nummer5
StatusPublished - 2012
PublikationskategoriForskning
Peer review utfördJa