The prüfer rings that are endomorphism rings of artinian modules

DOI10.1080/00927879408825018zbMath0806.16022OpenAlexW1971911011MaRDI QIDQ4295993

Alberto Facchini, Rosa Camps

Publication date: 15 February 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408825018

zbMATH Keywords

direct productendomorphism ringPrüfer ringsfinite number of prime ideals\(\Sigma\)-pure-injective modulesdiscrete Prüfer ringsright artinian module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items

Sigma-cotorsion modules over valuation domains, Endomorphism rings and tensor products of linearly compact modules, Finitary and Artinian-finitary groups, Artinian-finitary groups are locally normal-finitary., Modules with few types over a commutative valuation ring, Krull-Schmidt Fails for Artinian Modules, \(\Sigma\)-injective modules over left duo and left distributive rings, ∑–pure—injective modules over a commutative prüfer ring

Cites Work

• On \(\Sigma\)-pure-injective modules over valuation domains
• Relative injectivity and pure-injective modules over Prüfer rings
• Loewy and Artinian modules over commutative rings
• Topologies lineaires and modules Artiniens
• Power cancellation for artinian modules
• Artinian modules over commutative rings
• Rein injektive direkte summen von moduln
• On semilocal rings
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