GP-Injective Rings Need Not be P-Injective

DOI10.1081/AGB-200058375zbMath1076.16003OpenAlexW2047707952MaRDI QIDQ5466699

Zhanmin Zhu, Yiqiang Zhou, Jian-Long Chen

Publication date: 25 August 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200058375

zbMATH Keywords

matrix ringsleft FP-injective ringsleft P-injective ringsleft GP-injective rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50)

Related Items (13)

\(GF\)-regular modules. ⋮ Unnamed Item ⋮ Some results on quasi-Frobenius rings ⋮ Properties of Modules and Rings Relative to Some Matrices ⋮ Notes on quasi-Frobenius rings ⋮ Some characterizations of quasi-Frobenius rings ⋮ Some results on MP-injectivity and MGP-injectivity of rings and modules. ⋮ Almost MGP-injective rings. ⋮ Unnamed Item ⋮ MP-injective rings and MGP-injective rings. ⋮ AGQP-injective modules. ⋮ A Note on GP-Injectivity ⋮ Characterizations of QF Rings

Cites Work

• Finiteness of the injective hull
• Generalizations of principally injective rings
• Principally injective rings
• Rings with the principal extension property
• On general principally injective rings
• Rings in which certain right ideals are direct summands of annihilators
• On p-injective rings
• On a theorem of camillo
• On simple GP - injective modules

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