Uniform modules over serial rings

DOI10.1016/0021-8693(91)90130-ZzbMath0737.16015OpenAlexW1992246853MaRDI QIDQ1178881

Surjeet Singh, Bruno J. Mueller

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90130-z

zbMATH Keywords

uniserial moduleserial ringdirect sum of prime ringsalmost non-singular idealsemi-prime right serial ringsuccessor prime idealuniform \(R\)-module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (9)

Ziegler spectra of serial rings with krull dimension ⋮ Prime ideals in serial rings ⋮ On p-injective rings ⋮ Classical localizations in serial rings ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Semidistributive modules ⋮ Rings with finite decomposition of identity.

Cites Work

• Unnamed Item
• Krull dimension in serial rings
• Serial rings with right Krull dimension one
• Serial rings with right Krull dimension one. II
• Polyserial modules over valuation domains
• Serial rings and finitely presented modules
• Serial rings with krull dimension
• Uniform modules over serial rings with krull dimension
• Certain uniform modules over serial rings are uniserial
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Transfinite powers of the jacobson radical
• Nil Subrings of Goldie Rings are Nilpotent

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