TY - JOUR
T1 - On Homomorphism of Valuation Algebras
AU - Guan , Xuechong
AU - Li , Yongming
JO - Communications in Mathematical Research 
VL - 1
SP - 69
EP - 80
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19108.html
KW - homomorphism, valuation algebra, semiring.
AB - <p style="text-align: justify;">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.</p>