多项式代数与半群代数中单项式序之间的关系

The relation between monomial orderings on polynomial algebra and semigroup algebra

研究了半群代数k[A]中单项式序的性质,利用环面同态讨论了多项式代数k[x]和k[z]中的单项式序与半群代数k[A]单项式序的关系,给出了相互诱导的条件及N0A上全序是良序的充分必要条件.

This article studies the property of monomial ordering,deals with relation between monomial orderings on polynomial algebra k[x],k[z] and semigroup algebra k[A]by means of toric homomorphism,and gives the conditions that induce each other,moreover,gives sufficient and necessary conditions such that total ordering is well-ordering in N_0A.