\(\Sigma\)-injective modules over left duo and left distributive rings

DOI10.1016/0022-4049(95)00153-0zbMath0859.16003OpenAlexW2080732847WikidataQ114215351 ScholiaQ114215351MaRDI QIDQ1815302

Robert Wisbauer, Gennadi Puninski

Publication date: 13 April 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00153-0

zbMATH Keywords

completely prime idealsleft Noetherian ringsleft duo ringslattices of left idealsdistributive ringsleft distributive ringsleft uniserial rings\(\Sigma\)-injective indecomposable left modulesclassical localizations

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items

Unnamed Item, A taxonomy of 2-primal rings., Minimal Modules Over Serial Rings, Endomorphism rings, power series rings, and serial modules, Unnamed Item, Semidistributive modules, On the number of injective indecomposable modules, ∑–pure—injective modules over a commutative prüfer ring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Injective modules over Noetherian rings
• Distributive rings and endodistributive modules
• Rings with flat right ideals and distributive rings
• Serial rings and finitely presented modules
• Generalized Dedekind domains and their injective modules
• Some decomposition properties of injective and pure-injective modules
• Principally injective rings
• On fully left bounded left Noetherian rings
• Modules Whose Lattice of Submodules is Distributive
• The prüfer rings that are endomorphism rings of artinian modules