Erratum to : “The finite free extension of artinian -algebras with the strong Lefschetz property” [Rend. Sem. Mat. Univ. Padova 110 (2003), 119–146]
Essai d'une théorie noethérienne homogène pour les anneaux commutatifs dont la graduation est aussi générale que possible
Essential Sequences Over an Ideal and Essential Cograde.
Étude de certains éclatements
Euclidean rings of affine curves.
Exact sequences of pairs in commutative rings
Factorization in Krull monoids with infinite class group
Let H be a Krull monoid with infinite class group and such that each divisor class of H contains a prime divisor. We show that for each finite set L of integers ≥2 there exists some h ∈ H such that the following are equivalent: (i) h has a representation for some irreducible elements , (ii) k ∈ L.
Fast invertierbare Primideale der kommutativen Ringe.
Fermeture intégrale et changement de base
Fermeture intégrale et changement de base
Finite dimensional rings of quotients.
In this paper we characterize commutative rings with finite dimensional classical ring of quotients. To illustrate the diversity of behavior of these rings we examine the case of local rings and FPF rings. Our results extend earlier work on rings with zero-dimensional rings of quotients.
Finite Polynomial Orbits in Finitely Generated Domains.
Finitely generated Ext algebras.
Finitely generated projective modules and Fitting ideals.
Finiteness results for Abelian tree models
Equivariant tree models are statistical models used in the reconstruction of phylogenetic trees from genetic data. Here equivariant§ refers to a symmetry group imposed on the root distribution and on the transition matrices in the model. We prove that if that symmetry group is Abelian, then the Zariski closures of these models are defined by polynomial equations of bounded degree, independent of the tree. Moreover, we show that there exists a polynomial-time membership test for that Zariski closure....
Flat Ideals II.
Forms and mappings. I: Generalities
Freie Auflösungen äusserer Potenzen.
-domains and pseudo-valuations
Gaussian and Prüfer conditions in bi-amalgamated algebras
Let and be two ring homomorphisms and let and be ideals of and , respectively, such that . In this paper, we investigate the transfer of the notions of Gaussian and Prüfer rings to the bi-amalgamation of with along with respect to (denoted by introduced and studied by S. Kabbaj, K. Louartiti and M. Tamekkante in 2013. Our results recover well known results on amalgamations in C. A. Finocchiaro (2014) and generate new original examples of rings possessing these properties.