A decomposition theorem for complete comodule algebras over complete Hopf algebras
A note on p.q.-Baer modules.
A Reduction Theorem for the Primitivity of Tensor Products.
A remark on power series rings.
A trivializability principle for local rings is described which leads to a form of weak algorithm for local semifirs with a finitely generated maximal ideal whose powers meet in zero.
A unified approach to the Armendariz property of polynomial rings and power series rings
A ring R is called Armendariz (resp., Armendariz of power series type) if, whenever in R[x] (resp., in R[[x]]), then for all i and j. This paper deals with a unified generalization of the two concepts (see Definition 2). Some known results on Armendariz rings are extended to this more general situation and new results are obtained as consequences. For instance, it is proved that a ring R is Armendariz of power series type iff the same is true of R[[x]]. For an injective endomorphism σ of a ring...
Abelian modules.
An Algorithm for Lifting Points in a Tropical Variety
An approximation theorem for Dubrovin valuation rings.
An intermediate ring between a polynomial ring and a power series ring
Let R[x] and R[[x]] respectively denote the ring of polynomials and the ring of power series in one indeterminate x over a ring R. For an ideal I of R, denote by [R;I][x] the following subring of R[[x]]: [R;I][x]: = : ∃ 0 ≤ n∈ ℤ such that , ∀ i ≥ n. The polynomial and power series rings over R are extreme cases where I = 0 or R, but there are ideals I such that neither R[x] nor R[[x]] is isomorphic to [R;I][x]. The results characterizing polynomial rings or power series rings with a certain ring...
Application des variables non commutatives à divers produits de séries formelles
Automorphismes de certains completés du corps de Weyl quantique.
Bezout orders.
Centers of semigroup rings and conjugacy classes.
Central Armendariz rings.
Combinatorial aspects of polylogarithms and Euler-Zagier sums. (Aspects combinatoires des polylogarithmes et des sommes d'Euler-Zagier.)
Compatible ideals and radicals of Ore extensions.
Cyclic extensions and crossed-products
Decomposition of Mal'cev-Neumann division algebras with involution.
Derivations, semidirect products and reduced cyclic cohomology.
Détermination de la représentation standard d'une série reconnaissable