Abstract
This paper continues the study of the relationship between Grobner bases and involutive bases of polynomial ideals started in [1, 5]. Involutive bases are considered as Grobner bases with some fixed normal form algorithms. It is shown that once the search order of critical pairs is coordinated, the sameS-elements and their reductions appear in the same order in the process of the construction of Grobner bases and involutive bases.
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