Ideals in rings of integer valued polynomials.
Idealtransformierte von multiplikativen Systemen von Idealen und deren Endlichkeit
Ideaux de polynomes et ideaux de valeurs.
Idéaux premiers de Goldman
Idempotent semigroups and tropical algebraic sets
The tropical semifield, i.e., the real numbers enhanced by the operations of addition and maximum, serves as a base of tropical mathematics. Addition is an abelian group operation, whereas the maximum defines an idempotent semigroup structure. We address the question of the geometry of idempotent semigroups, in particular, tropical algebraic sets carrying the structure of a commutative idempotent semigroup. We show that commutative idempotent semigroups are contractible, that systems of tropical...
Images directes I : Espaces rigides analytiques et images directes
Cet article est le premier d’une série de trois articles consacrés aux images directes d’isocristaux : ici nous considérons des isocristaux sans structure de Frobenius ; dans le deuxième [Et 6] (resp. le troisième [Et 7]), nous introduirons une structure de Frobenius dans le contexte convergent (resp. surconvergent).Pour un morphisme propre et lisse relevable nous établissons la surconvergence des images directes, grâce à un théorème de changement de base pour un morphisme propre entre espaces rigides...
Imbeddability of a commutative ring in a finite-dimensional ring.
Improper intersections in complex analytic geometry [Book]
Incollamenti di ideali primi e gruppi di Picard
Independence in Completions and Endomorphism Algebras.
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 closure of monomial ideals on regular sequences.
Integral closure of in via the Puiseux theorem.
Integral closures of ideals in the Rees ring
The important ideas of reduction and integral closure of an ideal in a commutative Noetherian ring A (with identity) were introduced by Northcott and Rees [4]; a brief and direct approach to their theory is given in [6, (1.1)]. We begin by briefly summarizing some of the main aspects.
Integral domains of finite character. II.
Intermediate domains between a domain and some intersection of its localizations
In this paper, we deal with the study of intermediate domains between a domain and a domain such that is an intersection of localizations of , namely the pair . More precisely, we study the pair and the pair , where and . We prove that, if is a Jaffard domain, then is a Jaffard pair, which generalize [5, Théorème 1.9]. We also show that if is an -domain, then is a residually algebraic pair (that is for each intermediate domain between and , if is a prime ideal of ...
Invariante reguläre Differentialformen auf Gorenstein Algebren.
Inversion of Monic polynomials and Existence of Unimodular Elements (II).
Invertible ideals and Gaussian semirings
In the first section, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain. In section two, we define Prüfer semirings and characterize them in terms of valuation semirings. In this section, we also characterize Prüfer semirings in terms of some identities over its ideals such as for all ideals , of . In the third section, we give a semiring version for the Gilmer-Tsang Theorem, which states that for a suitable family...
Isomorphism of Endomorphism Algebras over Complete Discrete Valuation Rings.