交换环的M-赋值和高层序的相容性

Compatibility of M-valuation and higher level orders on a commutative ring

在交换环上,引进了M-赋值和高层序的相容性,并得出了一些关于M-赋值与高层序相容性的结果.研究所得出的结果可看作交换环上Manis赋值和V-赋值理论的推广.

The purpose of this paper is to introduce the notion of compatibility of M-valuation and higher level orders on a commutative ring.Then we get some results about the compatibility of M-valuation and higher level orders.The results from this paper can be considered to be the extension of the theory about Mvaluation of a commutative ring and V-valuation.