Absorbing ideals of the form \(I[[X]]\)
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Publication:6630979
Publication date: 31 October 2024
Published in: Moroccan Journal of Algebra and Geometry with Applications (Search for Journal in Brave)
Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Formal power series rings (13F25) General commutative ring theory (13A99)
Cites Work
- Idéaux divisoriels d'un anneau de polynômes
- Formally integrally closed domains and the rings \(R((X))\) and \(R\{\{X\}\}\)
- On Anderson-Badawi conjectures
- Dedekind-Mertens lemma and content formulas in power series rings
- Content formulas for polynomials and power series and complete integral closure
- The radical of an \(n\)-absorbing ideal
- The Anderson-Badawi conjecture for commutative algebras over infinite fields
- Power series rings over a Krull domain
- A Dedekind-Mertens theorem for power series rings
- On the Anderson-Badawi \(\omega_{R[X]}(I[X])=\omega_R(I)\) conjecture.
- On $n$-absorbing rings and ideals
- Onn-Absorbing Ideals of Commutative Rings
- On $n$-absorbing prime ideals of commutative rings
- On 2-absorbing ideals of commutative rings
- Zero Divisors and Nilpotent Elements in Power Series Rings
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