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the groebner basis under composition i
Pages: 219-224
Year: Issue:  2
Journal: Journal of Systems Science and Complexity

Keyword:  GetLinkList(KeywordFilter('Groebner basis term ordering composition.')'kw''CJFQ');
Abstract: 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.
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