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Acta Applicandae Mathematicae

, Volume 108, Issue 3, pp 603–615 | Cite as

Commutativity and Ideals in Pre-crystalline Graded Rings

  • Johan Öinert
  • Sergei D. Silvestrov
Article

Abstract

Pre-crystalline graded rings constitute a class of rings which share many properties with classical crossed products. Given a pre-crystalline graded ring \(\mathcal{A}\) , we describe its center, the commutant \(C_{\mathcal{A}}(\mathcal{A}_{0})\) of the degree zero grading part, and investigate the connection between maximal commutativity of \(\mathcal{A}_{0}\) in \(\mathcal{A}\) and the way in which two-sided ideals intersect \(\mathcal{A}_{0}\) .

Keywords

Crossed products Skew group rings Graded rings Ideals Commutative subrings 

Mathematics Subject Classification (2000)

16S35 16W50 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Centre for Mathematical SciencesLund UniversityLundSweden

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