Abstract. In this paper we contribute with one main result to the interesting probleminitiated by Hong(1998) on the behaviour of Groebner bases under composition of polyno-mials. Polynomial composition is the operatio...Abstract. In this paper we contribute with one main result to the interesting probleminitiated by Hong(1998) on the behaviour of Groebner bases under composition of polyno-mials. Polynomial composition is the operation of replacing the variables of a polynomialwith other polynomials. The main question of this paper is: Does there exist a decisionprocedure that will determine whether a given composition is comPatible with a given termordering? If so, find one. We will give a better answer.展开更多
基金the Foundation of Nature Science of Hunan Province(98JJY2052)
文摘Abstract. In this paper we contribute with one main result to the interesting probleminitiated by Hong(1998) on the behaviour of Groebner bases under composition of polyno-mials. Polynomial composition is the operation of replacing the variables of a polynomialwith other polynomials. The main question of this paper is: Does there exist a decisionprocedure that will determine whether a given composition is comPatible with a given termordering? If so, find one. We will give a better answer.
