The Artin conjecture for Q-algebras.
We give a simplification, in the case of Q-algebras, of the proof of Artin's Conjecture, which says that a regular morphism between Noetherian rings is the inductive limit of smooth morphisms of finite type.
The differential spectrum of a ring
The group of automorphisms of a commutative algebra.
The order of algebras with nontrivial fixed point subalgebras.
The Strong Anick Conjecture is true
Recently Umirbaev has proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra over a field of characteristic 0. In particular, the well-known Anick automorphism is wild. In this article we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordinates of . In particular, the two nontrivial coordinates in the Anick automorphism are both wild. We establish a...
Über Automorphismen und Derivationen von Ringen.
Über den Derivationenmodul und das Jacobi-Ideal von Kurvensingularitäten.
Zur Berechnung von Schnittmultiplizitäten durch Längen
Zur Chevalley-Zerlegung von Derivationen.
Zur endlichen homologischen Dimension von Differentialmoduln.
Zur Existenz total ganz abgeschlossener Ringerweiterungen.
Zur Reflexivität analytischer Differentialmoduln.
Коммутативные аффинные кольца.
О непрерывном продолжении дифференцирований колец
Одна характеризация колец многочленов над полем
Семичленная последовательность в теории Галуа колец
Спектр жестких систем хорновых классов.