Rings whose modules have maximal or minimal subprojectivity domain

DOI10.1142/S0219498815500838zbMath1322.16002OpenAlexW2164139224MaRDI QIDQ5251105

Yilmaz Durğun

Publication date: 22 May 2015

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

Full work available at URL: https://doi.org/10.1142/s0219498815500838

zbMATH Keywords

projective modulesQF-ringsmiddle classes\(p\)-indigent modulesfully saturated ringssubprojectivity domains

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

RD-projective module whose subprojectivity domain is minimal ⋮ Flat-precover completing domains ⋮ On minimal absolutely pure domain of RD-flat modules ⋮ Rings whose RD-flat modules have restricted subflat domains ⋮ The opposite of injectivity by proper classes ⋮ On projectivity of finitely generated modules ⋮ An alternative perspective on pure-projectivity of modules ⋮ Subprojectivity domains of pure-projective modules ⋮ Subprojectivity in abelian categories ⋮ On subinjectivity domains of pure-injective modules ⋮ An alternative perspective on flatness of modules ⋮ On subprojectivity domains of g-semiartinian modules ⋮ A new approach to projectivity in the categories of complexes ⋮ On subinjectivity domains of RD-injective modules

Cites Work

• Unnamed Item
• On Artinian rings with restricted class of injectivity domains.
• Rings and modules characterized by opposites of injectivity.
• Rings whose modules have maximal or minimal projectivity domain.
• Rings whose modules have maximal or minimal injectivity domains.
• An alternative perspective on injectivity of modules.
• Characterizing rings in terms of the extent of the injectivity and projectivity of their modules.
• Lifting modules, extending modules and their applications to QF-rings
• AN ALTERNATIVE PERSPECTIVE ON PROJECTIVITY OF MODULES
• POOR MODULES: THE OPPOSITE OF INJECTIVITY
• On σ-extending modules
• WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM
• Whitehead test modules
• Rings and modules of quotients