Characterizations of Extending and 𝒢-Extending Generalized Triangular Matrix Rings

DOI10.1080/00927872.2010.544696zbMath1248.16005OpenAlexW1963810392MaRDI QIDQ5389031

Gary F. Birkenmeier, Adnan Tercan, Evrim Akalan

Publication date: 24 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.544696

zbMATH Keywords

direct summandsessential submodulesinjective modulesextending modulesgeneralized triangular matrix ringsfaithful modules\(\mathcal G\)-extending modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (6)

A characterization of extending trivial Morita contexts ⋮ Two Open Questions On Goldie Extending Modules ⋮ A characterization of extending generalized triangular matrix rings ⋮ FI-extending hulls of abelian groups ⋮ Triangular matrix rings of selfinjective rings ⋮ s.Baer and s.Rickart Modules

Cites Work

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• Ring hulls and applications.
• Triangular matrix representations
• Goldie Extending Modules
• Endomorphism Rings of Modules over non-singular CS Rings
• π-injective modules and rings whose cyclics are π-injective
• On certain CS-rings
• Idempotents and completely semiprime ideals
• Singular torsion and the splitting properties

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