On Homomorphism of Valuation Algebras

On Homomorphism of Valuation Algebras

Year:    2011

Author:    Xuechong Guan, Yongming Li

Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 69–80

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-CMR-19108

Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 69–80

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    homomorphism valuation algebra semiring.

Author Details

Xuechong Guan

Yongming Li