Solution configurations and solution extensions of semiring-induced valuation algebra

doi:10.3778/j.issn.1002-8331.2010.35.012

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (35): 42-44.DOI: 10.3778/j.issn.1002-8331.2010.35.012

• 研究、探讨 • Previous Articles Next Articles

Solution configurations and solution extensions of semiring-induced valuation algebra

GUAN Xue-chong^1，2，LI Yong-ming³

1.College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China
2.School of Mathematical Science，Xuzhou Normal University，Xuzhou，Shandong 221116，China
3.College of Computer Science，Shaanxi Normal University，Xi’an 710062，China

Received:2009-10-20 Revised:2010-01-13 Online:2010-12-11 Published:2010-12-11
Contact: GUAN Xue-chong

半环诱导的赋值代数的解轮廓和解扩展

管雪冲^1，2，李永明³

1.陕西师范大学数学与信息科学学院，西安 710062
2.徐州师范大学数学科学学院，山东徐州 221116
3.陕西师范大学计算机科学学院，西安 710062

通讯作者: 管雪冲

Abstract

Abstract: In the semiring-induced valuation algebra，by composition of semiring homomorphism with valuations，a new valuation algebra is gotten.It has been proved that semiring homomorphisms preserve the solution configurations of valuation.It also has given a generalization of the theorem of solution extension of valuations.

Key words: valuation algebra, semiring, homomorphism, solution configuration, solution extension

摘要： 在由半环诱导的赋值代数中，通过半环同态与赋值的复合得到了一个新的赋值代数。证明了嵌入同态保持赋值的解轮廓，推广了赋值的解扩展定理。

关键词: 赋值代数, 半环, 同态, 解轮廓, 解扩展

CLC Number:

O153.3
TP18

GUAN Xue-chong^1，2，LI Yong-ming³. Solution configurations and solution extensions of semiring-induced valuation algebra[J]. Computer Engineering and Applications, 2010, 46(35): 42-44.

管雪冲^1，2，李永明³. 半环诱导的赋值代数的解轮廓和解扩展[J]. 计算机工程与应用, 2010, 46(35): 42-44.

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Solution configurations and solution extensions of semiring-induced valuation algebra

半环诱导的赋值代数的解轮廓和解扩展

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