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On Homomorphism of Valuation Algebras

On Homomorphism of Valuation Algebras
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摘要 In this paper, firstly, a necessary condition and a sufficient condition for an isomorphism between two semiring-induced valuation algebras to exist are presented respectively. Then a general valuation homomorphism based on different domains is defined, and the corresponding homomorphism theorem of valuation algebra is proved. In this paper, firstly, a necessary condition and a sufficient condition for an isomorphism between two semiring-induced valuation algebras to exist are presented respectively. Then a general valuation homomorphism based on different domains is defined, and the corresponding homomorphism theorem of valuation algebra is proved.
出处 《Communications in Mathematical Research》 CSCD 2011年第1期69-80,共12页 数学研究通讯(英文版)
基金 The NSF(60873119)of China the Higher School Doctoral Subject Foundation (200807180005)of Ministry of Education of China
关键词 HOMOMORPHISM valuation algebra SEMIRING homomorphism, valuation algebra, semiring
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参考文献6

  • 1Bistarelli, S., Montanari, U. and Rossi, F., Semiring-based constraint satisfaction and optimization optimisation, J. ACM, 44(1997), 201-236.
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