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This is a Quantitative Study study.

September 17, 2025International Electronic Journal of AlgebraOpen Access

Artinian rings and modules everywhere

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Authors

FOF. OmarUniversidad de Granada IMI. El MariamiUniversidad de Granada PJPascual JaraUniversidad de Granada

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Implication

This analysis shows the connection between Artinian rings and hereditary torsion theories in modules, indicating implications for finiteness conditions.

Key Points

Artinian rings are vital for understanding finiteness conditions in commutative rings and their modules.
Spec(A) shares the Noetherian property with A when A is a Noetherian ring, influencing hereditary torsion theories.
Hereditary torsion theories in Mod-A can be characterized by finitely generated ideals, leading to insights into their structure.
Finiteness conditions play a crucial role in defining (totally) Noetherian and (totally) Artinian rings and modules.

Cite This Study

Omar et al. (2025) studied this question.

synapsesocial.com/papers/68d45b2931b076d99fa5dab5 https://doi.org/10.24330/ieja.1785359

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Implication

This analysis shows the connection between Artinian rings and hereditary torsion theories in modules, indicating implications for finiteness conditions.

Artinian rings and modules everywhere

Discussion

Member takes

Implication

Key Points

Cite This Study

Artinian rings and modules everywhere

Discussion

Member takes

Implication

Key Points

Cite This Study

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