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Anelli regolari separabilmente chiusi
Carlo Toffalori (1984)
Rendiconti del Seminario Matematico della Università di Padova
Approximation Properties and Existential Completeness for Ring Morphisms.
S. Basarab, V. Nica (1980/1981)
Manuscripta mathematica
Bounds and definablity over fields.
Karsten Schmidt-Göttsch (1987)
Journal für die reine und angewandte Mathematik
Constructions of finitely generated submodules of constructively noetherian modules
Wim Ruitenburg (1987)
Compositio Mathematica
Der Cohensche Eliminationssatz in positiver Charakteristik
TADEUSZ MOSTOWSKI, GERHARD PFISTER (1979)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Die Amalgamierungseigenschaft und reine Ringe.
Horst Zeitler (1981)
Archiv für mathematische Logik und Grundlagenforschung
Elementary regular rings. II.
Ershov, Yu.L. (2004)
Sibirskij Matematicheskij Zhurnal
Errata to the paper "Remarks of the elementary theories of formal and convergent power series" Fundamenta Mathematicae 105 (1980), pp. 229-239
Joseph Becker, Leonard Lipshitz (1981)
Fundamenta Mathematicae
Existentially closed domains with radical relations.
A. Prestel, J. Schmid (1990)
Journal für die reine und angewandte Mathematik
Model-completeness for sheaves of structures
Angus Macintyre (1973)
Fundamenta Mathematicae
Non-axiomatizability of real spectra in
Timothy Mellor, Marcus Tressl (2012)
Annales de la faculté des sciences de Toulouse Mathématiques
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.
Manuel Abejón Adámez (1972)
Gaceta Matemática
On a connection between the word problem and decidability of the equational theory.
Popov, V.Yu. (2000)
Siberian Mathematical Journal
On a non-vanishing Ext
Laszlo Fuchs, Saharon Shelah (2003)
Rendiconti del Seminario Matematico della Università di Padova
On constructivizability of the tensor product of modules.
Latkin, I.V. (2002)
Sibirskij Matematicheskij Zhurnal
On the lengths of bad sequences of monomial ideals over polynomial rings
Florian Pelupessy, Andreas Weiermann (2012)
Fundamenta Mathematicae
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.
Volker Weispfennig (1985)
Archiv für mathematische Logik und Grundlagenforschung
Remarks on the elementary theories of formal and convergent power series
Joseph Becker, Leonard Lipshitz (1980)
Fundamenta Mathematicae
Separable -free modules with almost trivial dual
Daniel Herden, Héctor Gabriel Salazar Pedroza (2016)
Commentationes Mathematicae Universitatis Carolinae
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.
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