On the restricted minimum condition for rings

DOI10.1007/s00009-020-01649-6zbMath1464.16015OpenAlexW3107766636MaRDI QIDQ2221119

A. Karami Z., Mohammad Reza Vedadi

Publication date: 26 January 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-01649-6

zbMATH Keywords

Noetherian ringquasi-Frobenius ringextending moduleArtinian moduleserial ringrestricted minimum condition

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Restricted minimum condition in reduced commutative rings ⋮ Restricted minimum condition for group-rings and matrix extensions

Cites Work

• On rings with restricted minimum condition
• Finitely presented modules over right non-singular rings.
• Ideals and modules of simple Noetherian hereditary rings
• Commutative rings with restricted minimum condition
• When Essential Extensions of Finitely Generated Modules are Finitely Generated
• On Serial Noetherian Rings
• Certain Overrings of Right Hereditary, Right Noetherian Rings are V-Rings
• Serial Right Noetherian Rings
• On modules and rings with the restricted minimum condition
• Nonsingular Rings
• Rings with Restricted Minimum Condition
• The Restricted Minimum Condition in Noetherian Hereditary Rings
• Nonsingular retractable modules and their endomorphism rings
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