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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.

Generalizations of primal ideals in commutative rings

Ahmad Yousefian Darani (2012)

Matematički Vesnik

Generalized equivalence of matrices over Prüfer domains.

Demeyer, Frank, Kakakhail, Hainya (1991)

International Journal of Mathematics and Mathematical Sciences

(Generalized) filter properties of the amalgamated algebra

Yusof Azimi (2022)

Archivum Mathematicum

Let $R$ and $S$ be commutative rings with unity, $f : R \to S$ a ring homomorphism and $J$ an ideal of $S$ . Then the subring $R ⋈^{f} J : = {(a, f (a) + j) ∣ a \in R$ and $j \in J}$ of $R \times S$ is called the amalgamation of $R$ with $S$ along $J$ with respect to $f$ . In this paper, we determine when $R ⋈^{f} J$ is a (generalized) filter ring.

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 Koszul complexes and Hochschild (co-)homology of complete intersections.

Ana Lago, Antonio G. Rodicio (1992)

Inventiones mathematicae

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

A. Sathaye (1983)

Inventiones mathematicae

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

Fabrizio Andreatta (2006)

Annales scientifiques de l'École Normale Supérieure

Generalized tilting modules over ring extension

Zhen Zhang (2019)

Czechoslovak Mathematical Journal

Let $Γ$ be a ring extension of $R$ . We show the left $Γ$ -module $U = Γ \otimes_{R} C$ with the endmorphism ring End $_{Γ} U = Δ$ is a generalized tilting module when $_{R} C$ is a generalized tilting module under some conditions.

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General local cohomology modules and Koszul homology modules

General symbols and presentations of elementary linear groups.

Généralités sur l'algèbre locale

Generalization of the $S$ -Noetherian concept

Generalizations of primal ideals in commutative rings

Generalized equivalence of matrices over Prüfer domains.

(Generalized) filter properties of the amalgamated algebra

Generalized GCD rings.

Generalized GCD rings II.

Generalized Koszul complexes and Hochschild (co-)homology of complete intersections.

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

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

Generalized tilting modules over ring extension

Generating ideals in local rings using elements of high degrees.

Generating Ideals in Polynomial Rings.

Generators for Certain Ideals in Regular Rings of Dimension Three

Generators for the Derivation modules and the relation ideals of certain curves.

Generators of rings of constants of derivations.

Generic determinantal schemes and the smoothability of determinantal schemes of codimension 2.

Generic maps and modules

Currently displaying 941 – 960 of 2842