Generalizations of principally injective rings

DOI10.1006/JABR.1998.7403zbMath0923.16002OpenAlexW1968627797WikidataQ123246664 ScholiaQ123246664MaRDI QIDQ1270092

Stanley S. Page, Yiqiang Zhou

Publication date: 24 October 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7403

zbMATH Keywords

Jacobson radicalright AGP-injective ringsACC on right annihilatorsAP-injective ringsAP-injectivityGP-injectivityright QGP-injective ringsright singular idealsright socles

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (12)

Unnamed Item ⋮ Rings in which certain right ideals are direct summands of annihilators ⋮ Unnamed Item ⋮ Generalizations of Semiregular Rings^# ⋮ ON NIL n-INJECTIVE RINGS ⋮ Some characterizations of quasi-Frobenius rings ⋮ Quasi-dual rings ⋮ A Generalization of Semiregular and Almost Principally Injective Rings ⋮ AGQP-injective modules. ⋮ GP-Injective Rings Need Not be P-Injective ⋮ On General Injective Rings with Chain Conditions ⋮ Characterizations of QF Rings

Cites Work

• Unnamed Item
• Unnamed Item
• Rings whose cyclics are essentially embeddable in projective modules
• Self-injective rings with restricted chain conditions
• Principally injective rings
• Modules with decompositions that complement direct summands
• On Semiperfect FPF-Rings
• On a theorem of camillo
• On simple GP - injective modules
• On Some Characteristic Properties of Self-Injective Rings
• On the Nilpotency of Nil Subrings

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