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Miyanishi's characterization of the affine 3-space does not hold in higher dimensions

Shulim Kaliman, Mikhail Zaidenberg (2000)

Annales de l'institut Fourier

We present an example which confirms the assertion of the title.

Model-completeness for sheaves of structures

Angus Macintyre (1973)

Fundamenta Mathematicae

Models of group schemes of roots of unity

A. Mézard, M. Romagny, D. Tossici (2013)

Annales de l’institut Fourier

Let $𝒪_{K}$ be a discrete valuation ring of mixed characteristics $(0, p)$ , with residue field $k$ . Using work of Sekiguchi and Suwa, we construct some finite flat $𝒪_{K}$ -models of the group scheme $μ_{p^{n}, K}$ of $p^{n}$ -th roots of unity, which we call Kummer group schemes. We carefully set out the general framework and algebraic properties of this construction. When $k$ is perfect and $𝒪_{K}$ is a complete totally ramified extension of the ring of Witt vectors $W (k)$ , we provide a parallel study of the Breuil-Kisin modules of finite flat models...

Modular quadratic and Hermetian forms over Dedekind rings. I.

C.J. Bushnell (1976)

Journal für die reine und angewandte Mathematik

Modular quadratic and Hermitian forms over Dedekind rings.

C.J. Bushnell (1976)

Journal für die reine und angewandte Mathematik

Modules de Gorenstein et modules canoniques

Jean-Etienne Bertin (1974/1975)

Séminaire Dubreil. Algèbre et théorie des nombres

Modules defined by generic symmetric and alternating maps

Winfried Bruns, Udo Vetter (1990)

Banach Center Publications

Modules des differentielles en caracteristique p.

Michel André (1988)

Manuscripta mathematica

Modules différentiels sur les couronnes

Gilles Christol, Bernard Dwork (1994)

Annales de l'institut Fourier

Dans cet article, nous étudions les modules libres de type fini sur l’anneau $ℋ [d / d x]$ où $ℋ$ est l’anneau des éléments analytiques dans une couronne $r_{1} < | x | < r_{2}$ de $ℂ_{p}$ . D’une part, nous définissons, pour chaque nombre $r$ de $[r_{1}, r_{2}]$ , un rayon de convergence “générique" et nous montrons que celui-ci dépend continûment de $r$ . D’autre part, nous étudions l’existence et l’unicité d’un “antécédent de Frobenius".

Modules for which the natural map of the maximal spectrum is surjective

H. Ansari-Toroghy, R. Ovlyaee-Sarmazdeh (2010)

Colloquium Mathematicae

Let R be a commutative ring with identity. The purpose of this paper is to introduce two new classes of modules over R, called Ms modules and fulmaximal modules respectively. The first (resp. second) class contains the family of finitely generated and primeful (resp. finitely generated and multiplication) modules properly. Our concern is to extend some properties of primeful and multiplication modules to these new classes of modules.