Term-ordering free involutive bases

摘要

In this paper, we consider a monomial ideal J (sic) P := A[chi(1), . . . , chi(n)], over a commutative ring A, and we face the problem of the characterization for the family Mf (J) of all homogeneous ideals I (sic) P such that the A-module P/I is free with basis given by the set of terms in the Grinner escalier N(J) of J. This family is in general wider than that of the ideals having J as initial ideal w.r.t. any term-ordering, hence more suited to a computational approach to the study of Hilbert schemes.