Restricted minimum condition for group-rings and matrix extensions

DOI10.1080/00927872.2022.2095394OpenAlexW4284989179MaRDI QIDQ5872619

A. Karami Z., Mohammad Reza Vedadi

Publication date: 2 January 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2095394

zbMATH Keywords

polynomial ring\(C(X)\)group ringtrivial extensionArtinian 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)

Cites Work

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• C(X) vs. C(X) modulo its socle
• Rings with Restricted Minimum Condition
• Rings of Quotients of Group Rings
• The Restricted Minimum Condition in Noetherian Hereditary Rings
• Idempotents in group rings

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