On two properties of the augmentation ideal \(I(G)\).

DOI10.1134/S1995080214010041zbMath1320.16013OpenAlexW2029311697MaRDI QIDQ2263067

Manal Ghanem, Hassan Al-Ezeh

Publication date: 17 March 2015

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

Full work available at URL: https://doi.org/10.1134/s1995080214010041

zbMATH Keywords

group ringsaugmentation idealspure ideals\(p\)-injective ideals

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

• The augmentation ideal in group near-rings.
• Algebra in a localic topos with applications to ring theory
• Pure ideals in commutative reduced Gelfand rings with unity
• Group rings and their augmentation ideals
• Principally injective rings
• Combining Local and Von Neumann Regular Rings

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