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The Nevanlinna-Pick problem at the zeros of a Blaschke product B having a solution of norm smaller than one is studied. All its extremal solutions are invertible in the Douglas algebra D generated by B. If B is a finite product of sparse Blaschke products (Newman Blaschke products, Frostman Blaschke products) then so are all the extremal solutions. For a Blaschke product B a formula is given for the number C(B) such that if the NP-problem has a solution of norm smaller than C(B) then all its extremal...

Factorization properties of Krull monoids with infinite class group

Wolfgang Hassler (2002)

Colloquium Mathematicae

For a non-unit a of an atomic monoid H we call $L_{H} (a) = k \in ℕ | a = u ₁ . . . u_{k} w i t h i r r e d u c i b l e u_{i} \in H$ the set of lengths of a. Let H be a Krull monoid with infinite divisor class group such that each divisor class is the sum of a bounded number of prime divisor classes of H. We investigate factorization properties of H and show that H has sets of lengths containing large gaps. Finally we apply this result to finitely generated algebras over perfect fields with infinite divisor class group.

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Épimorphismes de modules qui sont nécessairement des isomorphismes

Équations linéaires dans les anneaux de polynômes

Erratum : «Sur la compacité du spectre minimal d'un anneau»

Erweiterungskriterien für stabil freie Moduln über Polynomringen.

Erzeugendenanzahl von reellen Modulen.

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.

Essentially indecomposable modules over a complete discrete valuation ring

Every Cotorsion-free Algebra is an Endomorphism Algebra.

Evolutions, symbolic squares, and Fitting ideals.

Exact sequences of pairs in commutative rings

Exchange PF-rings and almost PP-rings.

Exchange PF-rings and almost PP-rings

Extensionless modules over tame hereditary algebras

Extensions of radical operations to fractional ideals.

Extremal functions of the Nevanlinna-Pick problem and Douglas algebras

Factorization properties of Krull monoids with infinite class group

Failure of splitting from module-finite extension rings.

Finite and infinite collections of multiplication modules.

Finite bases for integral closures.

Currently displaying 161 – 180 of 638