A Groebner Approach to Involutive Bases.

Authors: 
Apel, Joachim
Year: 
1995
Language: 
English
Abstract: 
Recently, Zharkov and Blinkov introduced the notion of involutive bases of polynomial ideals. This involutive approach has its origin in the theory of partial differential equations and is a translation of results of Janet and Pommaret. In this paper we present a pure algebraic foundation of involutive bases of Pommaret type. In fact, they turn out to be generalized left Gröbner bases of ideals in the commutative polynomial ring with respect to a non-commutative grading. The introduced theory will allow not only the verification of the results of Zharkov and Blinkov but it will also provide some new facts.
Appeared / Erschienen in: 
Journal of Symbolic Computation 19 (1995), S. 441-457
Pubdate / Erscheinungsdatum: 
1995
Pages / Seitenanzahl: 
17
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