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Communications in Algebra Volume 40, 2012 - Issue 6
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Original Articles

Primes of Gauss Extensions Over Crossed Product Algebras

H. H. Brungs Department of Mathematics, University of Alberta, Edmonton, Alberta, CanadaCorrespondence[email protected]
,
H. Marubayashi Faculty of Sciences and Engineering, Tokushima Bunri University, Shido, Sanuki, Japan
&
E. Osmanagic Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada
Pages 1951-1973 | Received 07 Oct 2009, Published online: 15 Jun 2012
 
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Abstract

Let K be a skew field with total subring V and G be a right ordered group with cone P, so that the crossed product algebra K*G has a skew field D of fractions. We consider total subrings R of D with R ∩ K = V, describe the overrings in D, as well as subrings of R. For particular extensions R of V we determine the prime ideals of R in terms of prime ideals of V and prime ideals of overcones of P in G.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

This article is supported in part by NSERC.

Notes

Communicated by E. Puczylouski.

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