Rings having thb ascbnding chain condition 1 with respect to a torsion radical

DOI10.1080/00927878708823465zbMath0618.16024OpenAlexW1983472118MaRDI QIDQ3754769

Binlong Zhang

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00927878708823465

zbMATH Keywords

ascending chain conditionprime torsion radical

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Radicals and radical properties of associative rings (16Nxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Elements of noncommutative arithmetic. I
• Quotient categories and rings of quotients
• Relative krull dimension and prime ideals in right noetherian rings
• Injective modules with both ascending and descending chain conditions on annihilators
• Finitely annihilated modules and orders in artinian rings
• On Maximal Torsion Radicals
• Rings and modules of quotients