Abstract
All rings considered are commutative with unity and all groups considered are abelian. We give a characterization of a pure augmentation ideal, I(G), of a group ring, R(G). We study the relationship between the p-injectivity of R(G) and the p-injectivity of its ideal I(G). Keywords and phrases: Augmentation ideal, Pure ideal, P-injective ring, P-injective ideal.
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Submitted by M. M. Arslanov
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Ghanem, M., Al-Ezeh, H. On two properties of the augmentation ideal I(G). Lobachevskii J Math 35, 7–10 (2014). https://doi.org/10.1134/S1995080214010041
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DOI: https://doi.org/10.1134/S1995080214010041