-категоричные коммутативные кольца
Anelli regolari separabilmente chiusi
Approximation Properties and Existential Completeness for Ring Morphisms.
Bounds and definablity over fields.
Constructions of finitely generated submodules of constructively noetherian modules
Der Cohensche Eliminationssatz in positiver Charakteristik
Die Amalgamierungseigenschaft und reine Ringe.
Elementary regular rings. II.
Errata to the paper "Remarks of the elementary theories of formal and convergent power series" Fundamenta Mathematicae 105 (1980), pp. 229-239
Existentially closed domains with radical relations.
Model-completeness for sheaves of structures
Non-axiomatizability of real spectra in
We show that the property of a spectral space, to be a spectral subspace of the real spectrum of a commutative ring, is not expressible in the infinitary first order language of its defining lattice. This generalises a result of Delzell and Madden which says that not every completely normal spectral space is a real spectrum.
Nota sobre una de las ecuaciones de Volterra de primera especie reducibles a ecuaciones de convolución.
On a connection between the word problem and decidability of the equational theory.
On a non-vanishing Ext
On constructivizability of the tensor product of modules.
On the lengths of bad sequences of monomial ideals over polynomial rings
We give bad (with respect to the reverse inclusion ordering) sequences of monomial ideals in two variables with Ackermannian lengths and extend this to multiple recursive lengths for more variables.
Quantifier elimination for modules.
Remarks on the elementary theories of formal and convergent power series
Separable -free modules with almost trivial dual
An -module has an almost trivial dual if there are no epimorphisms from to the free -module of countable infinite rank . For every natural number , we construct arbitrarily large separable -free -modules with almost trivial dual by means of Shelah’s Easy Black Box, which is a combinatorial principle provable in ZFC.