半环诱导赋值代数的轮廓解

摘要

The properties of the solution configuration of valuation algebra over a totally ordered semiring were discussed. Furthermore, the concept of preserving the solution configuration of valuation algebra over a totally ordered semiring was given.With the help of the properties of the solution configuration,the question of the transfer function f preserving solution configuration was studied.It is concluded that the transfer function f preserves solution configuration if f is a semiring homomorphism.%先对全序半环诱导的赋值代数的轮廓解性质进行研究，再在全序半环诱导的赋值代数中引入保轮廓解的概念，并借助轮廓解的性质，对转移函数 f 保全序半环诱导的赋值代数的轮廓解问题进行研究。结果表明，若转移函数 f 是一个半环同态，则 f 是保轮廓解的。