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$G$ -domains and pseudo-valuations

N. Sankaran, Ram Avtar Yadav (1979)

Rendiconti del Seminario Matematico della Università di Padova

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.

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.

Displaying 1 – 10 of 10

$G$ -domains and pseudo-valuations

Gaussian and Prüfer conditions in bi-amalgamated algebras

Generalization of the $S$ -Noetherian concept

Generating Ideals in Polynomial Rings.

Generic maps and modules

Géométrie des points épais

Globale Moduln.

Gorenstein Rings and Modules with High Numbers of Generators.

Grassmann formula for certain type of modules

Groupes de Picard et séries formelles

Currently displaying 1 – 10 of 10