Classical localizations in serial rings

DOI10.1080/00927879608825769zbMath0887.16019OpenAlexW4242678863MaRDI QIDQ4338172

Gennadi Puninski, Alberto Facchini

Publication date: 25 May 1998

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

Full work available at URL: https://doi.org/10.1080/00927879608825769

zbMATH Keywords

regular elementsserial ringsuniserial ringscompletely prime idealslocalisationsorthogonal primitive idempotentsascending chain condition for right annihilatorsclassical quotient ringsemi-prime Goldie idealsArtinian quotient ringspartial quotient ringsDrozd's diagonalisation theoremincomparable Goldie prime idealslocalisable systemsmaximal Ore setsmaximal Ore subsets

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (6)

Prime ideals in serial rings ⋮ Endomorphism rings, power series rings, and serial modules ⋮ ORE sets in serial rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Semidistributive modules

Cites Work

• Unnamed Item
• Serial rings with right Krull dimension one
• Uniform modules over serial rings
• Serial rings and finitely presented modules
• Serial rings with krull dimension
• Bezout rings and serial rings

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