On harada rings and quasi-harada rings with left global dimension at most 2

DOI10.1080/00927870008826986zbMath0971.16011OpenAlexW1995423844MaRDI QIDQ4487348

Yoshitomo Baba

Publication date: 28 October 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826986

zbMATH Keywords

Morita equivalencesserial ringsessential extensionsright Harada ringsleft global dimensionfinitely generated indecomposable left modulesfunctor ringssemiprimary QF-3 maximal quotient ringsleft Artinian rings of finite representation typeQF-2 maximal quotient ringsquasi-Harada maximal quotient ringsserial maximal quotient rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Quasi-Frobenius rings (16L60) Representations of associative Artinian rings (16G10) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (4)

On Nakayama Rings ⋮ ON SELF-DUALITY OF AUSLANDER RINGS OF LOCAL SERIAL RINGS ⋮ SELF-DUALITY OF HARADA RING OF A COMPONENT TYPE ⋮ Global dimension of Harada rings and serial rings

Cites Work

• Unnamed Item
• On rings for which every indecomposable right module has a unique maximal submodule
• On quasi-Harada rings
• Injectivity of quasi-projective modules, projectivity of quasi-injective modules, and projective cover of injective modules
• Rings with finiteness conditions and their categories of functors
• On indecomposable injectives over artinian rings
• Some classes of qf-3 rings
• On a theorem of Fuller

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