Isomorphisms of Prime Goldie Semiprincipal Left Ideal Rings

DOI10.2307/2047453zbMath0666.16009OpenAlexW4247181821MaRDI QIDQ3818449

Kenneth G. Wolfson

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047453

zbMATH Keywords

free moduleBaer ringfinitely generated left idealsemilinear module isomorphismminimal right annihilators(left) Ore domainprime (left) Goldie ringsemiprincipal left ideal domain

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Divisibility, noncommutative UFDs (16U30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• Non-commutative principal ideal rings
• Projective modules over group rings and maximal orders
• Endomorphism rings of free modules over principal ideal domains
• Left principal ideal rings
• Semi-Prime Rings with Maximum Condition
• Isomorphisms of Prime Goldie Semi-Principal Left Ideal Rings, II
• Rings in Which Finitely Generated Right Ideals are Principal^†

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