Some rings characterised by their modules

DOI10.1080/00927879008824005zbMath0713.16004OpenAlexW2065143798MaRDI QIDQ3197958

Dinh Van Huynh, Patrick F. Smith

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824005

zbMATH Keywords

minimal prime idealdirect sumcyclic right R-moduleright Noetheriansemi-simple Artinianc-limited moduleinjective right R-modules

Mathematics Subject Classification ID

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) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (7)

AN AFFIRMATIVE ANSWER TO A QUESTION ON NOETHERIAN RINGS ⋮ Rings characterized by injectivity classes ⋮ A characterization of noetherian rings by cyclic modules ⋮ Simple-Direct-Projective Modules ⋮ Rings characterized by projectivity classes ⋮ Characterizations of rings by their modules ⋮ Relative continuity of direct sums of M-injective modules

Cites Work

• Unnamed Item
• A characterization of artinian rings
• A CHARACTERISATION OF RIGHT NOETHERIAN RINGS
• The injective test lemma in fully bounded rings

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