On rings whose quasi-injective modules are injective or semisimple

DOI10.1142/S0219498823500056OpenAlexW3207103621WikidataQ114072471 ScholiaQ114072471MaRDI QIDQ5046109

Bülent Saraç

Publication date: 27 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500056

zbMATH Keywords

injective modulequasi-injective modulepreradicalhereditary Noetherian prime ringQI-ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Cites Work

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• Rings whose cyclic modules have restricted injectivity domains
• On Artinian rings with restricted class of injectivity domains.
• Rings and modules characterized by opposites of injectivity.
• Rings whose modules have maximal or minimal injectivity domains.
• On semi-artinian \(V\)-modules
• On hereditary rings and Boyle's conjecture
• Primeness described in the language of torsion preradicals
• Characterizing rings in terms of the extent of the injectivity and projectivity of their modules.
• Rings without a middle class from a lattice-theoretic perspective
• On twisted polynomial rings
• Absolutely torsion-free rings
• Rings Characterized via a Class of Left Exact Preradicals
• POOR MODULES: THE OPPOSITE OF INJECTIVITY
• Strongly Prime Rings
• THE LATTICE STRUCTURE OF PRERADICALS II: PARTITIONS
• Hereditary QI-Rings
• Homological properties of the ring of differential polynomials
• Rings Whose Quasi-Injective Modules are Injective
• Some Applications of Differential Algebra to Ring Theory
• Singular torsion and the splitting properties
• When are Quasi-Injectives Injective?
• Rings and modules of quotients

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