A representation theorem for Chain rings
نویسندگان
چکیده
منابع مشابه
A General Representation Theorem for Partially Ordered Commutative Rings
An extension of the Kadison-Dubois representation theorem is proved. This extends both the classical version [3] and the preordering version given by Jacobi in [5]. It is then shown how this can be used to sharpen the results on representations of strictly positive polynomials given by Jacobi and Prestel in [6]. In [4] Dubois extends a result of Kadison on representation of archimedean partiall...
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In this paper we give a general theorem that describes necessary and sufficient conditions for a module to satisfy the so–called Kadison–Dubois property. This is used to generalize Jacobi’s version of the Kadison–Dubois representation to associative rings. We apply this representation to obtain a noncommutative algebraic and geometric version of Putinar’s Positivstellensatz. We finish the paper...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2003
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm96-1-10