Jacobian criteria for complete intersections. The graded case.
Jacobian matrix and p-basis
Japanische und geometrische Globale Ringe.
Jung's type theorem for polynomial transformations of ℂ²
We prove that among counterexamples to the Jacobian Conjecture, if there are any, we can find one of lowest degree, the coordinates of which have the form + terms of degree < m+n.
Kähler differentials of affine monomials curves.
Klassen von Moduln über Dedekind-Ringen und Satz von Stein-Serre
Kommutative Teilhabgruppen der Kompositionshalbgruppe von Polynomen und formalen Potenzreihen.
Kompositionsideale in Ringen formaler Potenzreihen
Konstantenreduktion von Ringen und Moduln.
Kummer theory of abelian varieties and reductions of Mordell-Weil groups
Lacunary formal power series and the Stern-Brocot sequence
Let be a real lacunary formal power series, where εₙ = 0,1 and . It is known that the denominators Qₙ(X) of the convergents of its continued fraction expansion are polynomials with coefficients 0, ±1, and that the number of nonzero terms in Qₙ(X) is the nth term of the Stern-Brocot sequence. We show that replacing the index n by any 2-adic integer ω makes sense. We prove that is a polynomial if and only if ω ∈ ℤ. In all the other cases is an infinite formal power series; we discuss its algebraic...
Langage de Łukasiewicz et diagonales de séries formelles
Dans un corps fini, toute série formelle algébrique en une indéterminée est la diagonale d'une fraction rationnelle en deux indéterminées (Furstenberg 67). Dans cet article, nous donnons une nouvelle preuve de ce résultat, par des méthodes purement combinatoires.
Large superdecomposable E(R)-algebras
For many domains R (including all Dedekind domains of characteristic 0 that are not fields or complete discrete valuation domains) we construct arbitrarily large superdecomposable R-algebras A that are at the same time E(R)-algebras. Here "superdecomposable" means that A admits no (directly) indecomposable R-algebra summands ≠ 0 and "E(R)-algebra" refers to the property that every R-endomorphism of the R-module, A is multiplication by an element of, A.
Le groupe des classes de l'algèbre affine d'une forme quadratique
Le Nullstellensatz de Hilbert et les Polynomes à Valeurs Entières.
Length 2 variables of A[x,y] and transfer
We construct and study length 2 variables of A[x,y] (A is a commutative ring). If A is an integral domain, we determine among these variables those which are tame. If A is a UFD, we prove that these variables are all stably tame. We apply this construction to show that some polynomials of A[x₁,...,xₙ] are variables using transfer.
Length of Polynomial Ascending Chains and Primitive Recursiveness.
Les idéaux premiers de l'anneau des polynomes à valeurs entières.
Les modules projectifs de type fini sur un anneau de polynômes sur un corps sont libres
Libération des modules projectifs sur certains anneaux de polynômes