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- 2015
转移函数保半环赋值代数轮廓解的条件
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Abstract:
摘要： 对转移映射保半环诱导的赋值代数的轮廓解的问题进行了研究.得到若转移映射f是一个反保序的半环同态,则f是保轮廓解的.如果两个半环间的一个转移映射f 是单调的,则若原赋值与转移后对应的新赋值的轮廓解都非空,则一定存在一个轮廓x0,它是新赋值的轮廓解,也是原赋值的轮廓解,即x0∈Cφ∩Cfφ.
Abstract: The map preserving solution configuration of valuation algebra induced by a semiring is studied. The transfer function f preserves solution configuration is obtained if f is an order-reflecting semiring homomorphism. In addition, if the transfer function f is monotonous, then there exists a solution configuration x0of the new valuation such that x0 is also a solution configuration of the primal valuation when the set of solution configuration of the two valuations are not empty
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