Serial rings with right Krull dimension one

DOI10.1016/0021-8693(87)90142-6zbMath0621.16025OpenAlexW2037371989MaRDI QIDQ1090399

Mary H. Upham

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90142-6

zbMATH Keywords

left Krull dimensionright Krull dimensionserial ringdirect sum of uniserial right idealsright singular idealuniseral R-modules

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (11)

Serial rings with right Krull dimension one. II ⋮ Serial rings with krull dimension ⋮ Uniform modules over serial rings with krull dimension ⋮ Classical localizations in serial rings ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Uniform modules over serial rings ⋮ Modules over serial rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Krull dimension in serial rings ⋮ Semidistributive modules

Cites Work

• Serial rings and finitely presented modules
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• The structure of serial rings
• Serial Right Noetherian Rings
• Coherent Rings and Fp -Injective Modules
• Krull dimension
• Unnamed Item

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