Construction of Involutive Monomial Sets for Different Involutive Divisions

Details Construction of Involutive Monomial Sets for Different Involutive Divisions Construction of Involutive Monomial Sets for Different Involutive Divisions

1999-12-04

arxiv.org/abs/math/9912031v1

Computer Algebra in Scientific Computing, V.G.Ganzha, E.W.Mayr and E.V.Vorozhtsov (Eds.), Springer-Verlag, Berlin, 1999, pp.14

Mathematics

Commutative Algebra

13 pages

Scientific paper

We consider computational and implementation issues for the completion of monomial sets to involution using different involutive divisions. Every of these divisions produces its own completion procedure. For the polynomial case it yields an involutive basis which is a special form of a Groebner basis, generally redundant. We also compare our Mathematica implementation of Janet division to an implementation in C.

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