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Gabriel dimension of graded rings

Constantin Năstăsescu, Şerban Raianu (1984)

Rendiconti del Seminario Matematico della Università di Padova

Galois modules and embedding problems.

Jan Brinkhuis (1984)

Journal für die reine und angewandte Mathematik

Ganzalgebraische Punkte und der Hilbertsche Irreduzibilitätssatz.

Klaus Langmann (1990)

Journal für die reine und angewandte Mathematik

Gaussian and Prüfer conditions in bi-amalgamated algebras

Najib Mahdou, Moutu Abdou Salam Moutui (2020)

Czechoslovak Mathematical Journal

Let $f : A \to B$ and $g : A \to C$ be two ring homomorphisms and let $J$ and $J^{'}$ be ideals of $B$ and $C$ , respectively, such that $f^{- 1} (J) = g^{- 1} (J^{'})$ . In this paper, we investigate the transfer of the notions of Gaussian and Prüfer rings to the bi-amalgamation of $A$ with $(B, C)$ along $(J, J^{'})$ with respect to $(f, g)$ (denoted by $A ⋈^{f, g} (J, J^{'})),$ introduced and studied by S. Kabbaj, K. Louartiti and M. Tamekkante in 2013. Our results recover well known results on amalgamations in C. A. Finocchiaro (2014) and generate new original examples of rings possessing these properties.

Generalized equivalence of matrices over Prüfer domains.

Demeyer, Frank, Kakakhail, Hainya (1991)

International Journal of Mathematics and Mathematical Sciences

Generalized GCD rings.

Ali, Majid M., Smith, David J. (2001)

Beiträge zur Algebra und Geometrie

Generalized GCD rings II.

Ali, Majid M., Smith, David J. (2003)

Beiträge zur Algebra und Geometrie

Generalized Newton-Puiseux Expansion and Abhyankar-Moh Semigroup Theorem.

A. Sathaye (1983)

Inventiones mathematicae

Generating Ideals in Polynomial Rings.

S. Mandal, A. Roy (1987)

Mathematische Zeitschrift

Generic maps and modules

Winfried Bruns (1982)

Compositio Mathematica

Generic simple coverings of the affine plane

Joseph Blass, Piotr Blass, Jeffrey Lang (1994)

Compositio Mathematica

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

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.

Currently displaying 1 – 20 of 22