Ideal as an intersection of zero-dimensional ideals and the Noether exponent.
Ideal class (semi)groups and atomicity in Prüfer domains
We explore the connection between atomicity in Prüfer domains and their corresponding class groups. We observe that a class group of infinite order is necessary for non-Noetherian almost Dedekind and Prüfer domains of finite character to be atomic. We construct a non-Noetherian almost Dedekind domain and exhibit a generating set for the ideal class semigroup.
Ideal structure of Hurwitz series rings.
Ideal theory in Prüfer rings with zero divisors.
Ideals in rings of integer valued polynomials.
Ideal-theoretic characterizations of valuation and Prüfer monoids
It is well known that an integral domain is a valuation domain if and only if it possesses only one finitary ideal system (Lorenzen -system of finite character). We prove an analogous result for root-closed (cancellative) monoids and apply it to give several new characterizations of Prüfer (multiplication) monoids and integral domains.
Ideaux de polynomes et ideaux de valeurs.
Il funtore di restrizione di Weil nel contesto della geometria rigido-formale
Incollamenti di ideali primi e gruppi di Picard
Indécidabilité de la théorie des anneaux de séries formelles à plusieurs indéterminées
Indecomposable Rank 4 Quadratic Spaces of Non-Trivial Discriminant Over Polynomial Rings.
Indépendance algébrique de certaines séries formelles
Indépendance linéaire et algébrique de logarithmes
Independence measures of arithmetic functions II
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.
Integral differentials and Fermat congruences.
Integral domains of finite character. II.
Intégration sur un cycle évanescent.