ZENG Guang-xinga,GAO Boa,DENG Zhong-shub(a.Department of Mathematics,Nanchang University,Nanchang 330031,Chinab.Editorial Department of Journal,Nanchang University,Nanchang 330047,China)
Abstract:The purpose of this paper is to investigate the decomposition and composition of M-valuations on a commutative ring.By introducing the notion of harmonic congruences for ordered monoids,a M-valuation on a commuttative ring is decomposed into a cancellativ