Formal Power Series Over Strongly Hopfian Rings

DOI10.1080/00927870903527527zbMath1208.13008OpenAlexW1988756406MaRDI QIDQ3081528

Sana Hizem

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903527527

zbMATH Keywords

strongly Hopfian ringspower series rings

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Formal power series rings (13F25) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (6)

Rings withS-acc ond-annihilators ⋮ Chain Condition on Annihilators and Strongly Hopfian Property in Hurwitz Series Ring ⋮ Hopficity of Modules and Rings (Survey) ⋮ Endo-Noetherian rings ⋮ Power series over strongly Hopfian bounded rings ⋮ Ore extensions over right strongly Hopfian rings.

Cites Work

• Unnamed Item
• Very long chains of annihilator ideals
• Generalized Fitting modules and rings.
• Modules with \(n\)-acc and the acc on certain types of annihilators.
• On the Zero-Divisor Graph of a Ring
• Power Series Rings Satisfying a Zero Divisor Property

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