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Galois actions on rings and finite Galois coverings.

M. Auslander, I. Reiten, S.O. Smalo (1989)

Mathematica Scandinavica

Galois theory and Lubin-Tate cochains on classifying spaces

Andrew Baker, Birgit Richter (2011)

Open Mathematics

We consider brave new cochain extensions F(BG +,R) → F(EG +,R), where R is either a Lubin-Tate spectrum E n or the related 2-periodic Morava K-theory K n, and G is a finite group. When R is an Eilenberg-Mac Lane spectrum, in some good cases such an extension is a G-Galois extension in the sense of John Rognes, but not always faithful. We prove that for E n and K n these extensions are always faithful in the K n local category. However, for a cyclic p-group $C_{p^{r}}$ , the cochain extension $F (B C_{p^{r} +}, E_{n}) \to F (E C_{p^{r} +}, E_{n})$ is not a Galois...

Galois theory of commutative rings revisited.

Ferrero, Miguel, Paques, Antonio (1997)

Beiträge zur Algebra und Geometrie

Ganzzahlige Funktionen natürlicher Zahlen.

Karl W. Gruenberg (1995)

Elemente der Mathematik

Generalization of the $S$ -Noetherian concept

Abdelamir Dabbabi, Ali Benhissi (2023)

Archivum Mathematicum

Let $A$ be a commutative ring and $𝒮$ a multiplicative system of ideals. We say that $A$ is $𝒮$ -Noetherian, if for each ideal $Q$ of $A$ , there exist $I \in 𝒮$ and a finitely generated ideal $F \subseteq Q$ such that $I Q \subseteq F$ . In this paper, we study the transfer of this property to the polynomial ring and Nagata’s idealization.

Generalized equivalence of matrices over Prüfer domains.

Demeyer, Frank, Kakakhail, Hainya (1991)

International Journal of Mathematics and Mathematical Sciences

Generalized ring of norms and generalized $(φ, Γ)$ -modules

Fabrizio Andreatta (2006)

Annales scientifiques de l'École Normale Supérieure

Generische determinantielle Singularitäten: Homologische Eigenschaften des Derivationenmoduls.

Udo Vetter (1983)

Manuscripta mathematica

Géométrie des points épais

Jacques Emsalem (1978)

Bulletin de la Société Mathématique de France

Geometry and deformation of special Schubert varieties

Steven L. Kleiman, John Landolfi (1971)

Compositio Mathematica

Globale Ringe und Moduln.

Klaus Langmann (1972)

Mathematische Zeitschrift

Graded morphisms of $G$ -modules

Hanspeter Kraft, Claudio Procesi (1987)

Annales de l'institut Fourier

Let $A$ be finite dimensional $C$ -algebra which is a complete intersection, i.e. $A = C [X_{1}, ..., X_{n}] / (f_{1}, ..., f_{n})$ whith a regular sequences $f_{1}, ..., f_{n}$ . Steve Halperin conjectured that the connected component of the automorphism group of such an algebra $A$ is solvable. We prove this in case $A$ is in addition graded and generated by elements of degree 1.

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