半环诱导赋值代数的轮廓解

吉林大学学报(理学版)

半环诱导赋值代数的轮廓解

许格妮^1,2, 李永明^1, 张云²

1. 陕西师范大学数学与信息科学学院, 西安 710062; 2. 西安财经学院统计学院, 西安 710100

收稿日期:2014-03-12 出版日期:2014-11-26 发布日期:2014-12-11
通讯作者: 李永明 E-mail:liyongm@snnu.edu.cn

Solution Configuration of Semiring Valuation Algebra

XU Geni^1,2, LI Yongming¹, ZHANG Yun²

1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China;2. College of Statistics, Xi’an University of
Finance and Economics, Xi’an 710100, China

Received:2014-03-12 Online:2014-11-26 Published:2014-12-11
Contact: LI Yongming E-mail:liyongm@snnu.edu.cn

摘要/Abstract

摘要：

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.

关键词: 赋值代数, 半环, 轮廓解, 转移函数

Abstract:

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.

Key words: valuation algebra, semiring, solution configuration, transfer function

中图分类号:

O141

许格妮, 李永明, 张云. 半环诱导赋值代数的轮廓解[J]. 吉林大学学报(理学版), 2014, 52(06): 1119-1124.

XU Geni, LI Yongming, ZHANG Yun. Solution Configuration of Semiring Valuation Algebra[J]. Journal of Jilin University Science Edition, 2014, 52(06): 1119-1124.

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[3]	金永. 三元多项式环中超越次数为2的收缩[J]. J4, 2011, 49(06): 1061-1063.