@Article{CMR-27-69, author = {Guan , Xuechong and Li , Yongming}, title = {On Homomorphism of Valuation Algebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {1}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19108.html} }