Nonnil-Noetherian rings and the SFT property

DOI10.1216/RMJ-2011-41-5-1483zbMath1242.13027MaRDI QIDQ640270

Sana Hizem, Ali Benhissi

Publication date: 18 October 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

power series ringnilradicalnonnil-Noetherian ringSFT ring

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal power series rings (13F25)

Related Items

On S-torsion exact sequences and Si-projective modules (i = 1,2) ⋮ Isonoetherian power series rings III ⋮ Nicely-contractible ideals, z0−ideals and z−ideals in formal series rings in finitely many variables ⋮ Nonnil-coherent rings ⋮ Unnamed Item ⋮ On nonnil-commutative diagrams and nonnil-projective modules ⋮ Chain conditions in amalgamated algebras along an ideal ⋮ On power invariant rings ⋮ Some results on nonnil-multiplication rings ⋮ On Anderson-Badawi conjectures ⋮ On Φ-projective modules and Φ-Prüfer rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ (2,n)-ideals of commutative rings ⋮ Unnamed Item ⋮ Power Series Over an Ascending Chain of Rings ⋮ Power series over strongly Hopfian bounded rings ⋮ 2-nil ideals of commutative rings ⋮ On quasi $n$-ideals of commutative rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Power series rings over discrete valuation rings
• When is \(A+XBX\) Noetherian?
• Seminormality in power series rings
• The SFT property does not imply finite dimension for power series rings.
• Rings with Noetherian spectrum
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• On Nonnil-Noetherian Rings
• Zero Divisors and Nilpotent Elements in Power Series Rings
• Krull Dimension in Power Series Rings