Primes of Gauss Extensions Over Crossed Product Algebras |
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| Authors: | H H Brungs H Marubayashi E Osmanagic |
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| Institution: | 1. Department of Mathematics , University of Alberta , Edmonton , Alberta , Canada brungs@ualberta.ca;3. Faculty of Sciences and Engineering , Tokushima Bunri University , Shido , Sanuki , Japan;4. Department of Mathematics , University of Alberta , Edmonton , Alberta , Canada |
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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. |
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| Keywords: | Crossed product Extension Graded ring Ore domain Prime ideal Right ordered group Valuation ring |
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