Ideal as an intersection of zero-dimensional ideals and the Noether exponent.
Ideals in rings of integer valued polynomials.
Ideaux de polynomes et ideaux de valeurs.
Incollamenti di ideali primi e gruppi di Picard
Indecomposable Rank 4 Quadratic Spaces of Non-Trivial Discriminant Over Polynomial Rings.
Initially Koszul algebras.
Integer Linear Programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4
In this work, we propose a new method to find monic irreducible polynomials with integer coefficients, only real roots, and span less than 4. The main idea is to reduce the search of such polynomials to the solution of Integer Linear Programming problems. In this frame, the coefficients of the polynomials we are looking for are the integer unknowns. We give inequality constraints specified by the properties that the polynomials should have, such as the typical distribution of their roots. These...
Integer-valued polynomials on algebras: a survey
We compare several different concepts of integer-valued polynomials on algebras and collect the few results and many open questions to be found in the literature.
Invariant subrings of ... [X, Y, Z] which are complete intersections.
Invariant theory of a class of infinite-dimensional groups.
Invariants de plusieurs formes binaires
Inversion of Monic polynomials and Existence of Unimodular Elements (II).
Inversion of Monic Polynomials and Existence of Unimodular Elements.
Invertibility of Bass-Connell-Wright polynomial maps.
Irreducible identity sets for polynomial autormorphisms.
Irreducible Jacobian derivations in positive characteristic
We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an (n-1)-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of their divergence and some nontrivial constants.