The Harmony and Compatibility of Valuations with Higher Level Orderings on A Module
Zhimiao Tao · Journal of Nanchang University · 2007
The harmony and compatibility of valuations with higher level orderings on a module are introduced,and the close interplay between valuations and higher level orderings is investigated.The results in this paper show that the harmony andcompatibility of valuations with higher level orderings on a module are not equivalent,which is a difference between higher level orderings and ordinary orderings(i.e.orderingsof level 1).