Restricted iso-minimum condition

DOI10.1515/forum-2022-0225OpenAlexW4361225864MaRDI QIDQ6073700

A. Daneshvar

Publication date: 18 September 2023

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2022-0225

zbMATH Keywords

principal ideal ringartinian rings(iso)Noetherian ringsisoartinian ringsrestricted (iso)minimum condition

Mathematics Subject Classification ID

Principal ideal rings (13F10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

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• Several generalizations of the Wedderburn-Artin theorem with applications
• Artinian dimension and isoradical of modules
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• On Köthe rings
• On the structure of principal ideal rings
• Restricted Gorenstein rings
• Restricted left principal ideal rings
• Commutative rings with restricted minimum condition
• Subdirectly irreducible commutative rings
• Commutative Subdirectly Irreducible Rings
• Commutative rings whose factors have Artinian rings of quotients
• Finitely Embedded Commutative Rings
• Commutative rings whose quotients are Goldie
• Polynomial Rings Over Goldie-Kerr Commutative Rings
• Virtually semisimple modules and a generalization of the Wedderburn-Artin theorem
• Structure of virtually semisimple modules over commutative rings
• Rings with Restricted Minimum Condition
• An Existence Theorem for Non-Noetherian Rings
• Elementary Divisors and Modules
• Modules with chain conditions up to isomorphism

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