Minimale Erzeugendenanzahl von Moduln.
Modules de Gorenstein et modules canoniques
Multiplicities and Rees valuations.
Newton-Puiseux expansion and generalized Tschirnhausen transformation. I.
Nicht-ausgeartete reguläre Überlagerungen.
Non-existence of the Artin function for Henselian pairs.
Non-transitive generalizations of subdirect products of linearly ordered rings
Weakly associative lattice rings (wal-rings) are non-transitive generalizations of lattice ordered rings (l-rings). As is known, the class of l-rings which are subdirect products of linearly ordered rings (i.e. the class of f-rings) plays an important role in the theory of l-rings. In the paper, the classes of wal-rings representable as subdirect products of to-rings and ao-rings (both being non-transitive generalizations of the class of f-rings) are characterized and the class of wal-rings having...
Normability of an S-ring.
We give some criteria of normability of an S-ring, and we study the properties of its norms.
Note on convergence and orders of vanishing along curves.
Notes on compact rings with open radical
On quasi-projective uniserial modules
On Rings admitting orderings and 2-primary chains of orderings of higher level.
On roots of polynomials with power series coefficients
We give a deepened version of a lemma of Gabrielov and then use it to prove the following fact: if h ∈ 𝕂[[X]] (𝕂 = ℝ or ℂ) is a root of a non-zero polynomial with convergent power series coefficients, then h is convergent.
On the algebraic compactness of some complete modules
On the approximation property of excellent rings.
On the Completion of a Valuation Ring.
On the Diophantine equation ... (X, Y) = ... (x, y).
On the Jacobian conjecture and the configurations of roots.
On the Jacobian criterion of formal smoothness.
We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.
On the Nonflatness of Analytic Tensor Product.