Kommutative Teilhabgruppen der Kompositionshalbgruppe von Polynomen und formalen Potenzreihen.
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
Linear Diophantic Equations and Local Cohomology.
Linear forms on free modules over certain local ring
Linear gradings of polynomial algebras
Let k be a field, let be a finite group. We describe linear -gradings of the polynomial algebra k[x 1, ..., x m] such that the unit component is a polynomial k-algebra.
Local derivations in polynomial and power series rings
We give a description of all local derivations (in the Kadison sense) in the polynomial ring in one variable in characteristic two. Moreover, we describe all local derivations in the power series ring in one variable in any characteristic.
Localization of the K-Theory of Polynomial Extensions.
Locally Polynomial Algebras are Symmetrie Algebras
Maximal non-Jaffard subrings of a field.
A domain R is called a maximal non-Jaffard subring of a field L if R ⊂ L, R is not a Jaffard domain and each domain T such that R ⊂ T ⊆ L is Jaffard. We show that maximal non-Jaffard subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dimv R = dim R + 1. Further characterizations are given. Maximal non-universally catenarian subrings of their quotient fields are also studied. It is proved that this class of domains coincides with the previous class when R is integrally...
Minimal degree solutions of polynomial equations
Minimal sets of generators for the relation ideals of certain monomial curves.
Minimale Erzeugendensystem und minimale Primteiler von monomialen Radikalidealen.
Monomial Buchsbaum ideals in Ipr.
Monomial Gorenstein Ideals.
Monomial ideals with tiny squares and Freiman ideals
We provide a construction of monomial ideals in such that , where denotes the least number of generators. This construction generalizes the main result of S. Eliahou, J. Herzog, M. Mohammadi Saem (2018). Working in the ring , we generalize the definition of a Freiman ideal which was introduced in J. Herzog, G. Zhu (2019) and then we give a complete characterization of such ideals. A particular case of this characterization leads to some further investigations on that generalize some results...