Prime Segments for Cones and Rings
نویسنده
چکیده
There exists an analogy between the structure of ideals of a cone in a right-ordered group and the structure of ideals of a Dubrovin valuation ring in a simple artinian ring. The structure of ideals of rank one cones and rank one Dubrovin valuation rings can be described completely. One sided versions of this problem are considered in 5] where the ideal theory of right cones is developed and a classiication of prime segments is given. The description of the two-sided ideals in this case mirrors the results for cones and Dubrovin valuation rings. However , it remains open whether additional ideals can occur in one particular situation.
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