Variations of essentiality of ideals in commutative rings
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Publication:5062330
DOI10.1142/S0219498822500566zbMath1482.13006OpenAlexW3100696094MaRDI QIDQ5062330
Publication date: 15 March 2022
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498822500566
essential idealannihilatorstrongly irreducible idealpure idealring of continuous functionsirreducible idealpseudoprime ideal
Structure, classification theorems for modules and ideals in commutative rings (13C05) Algebraic properties of function spaces in general topology (54C40) Ideals and multiplicative ideal theory in commutative rings (13A15)
Related Items (2)
A closer look at primal and pseudo-irreducible ideals with applications to rings of functions ⋮ Countable strongly annihilated ideals in commutative rings
Cites Work
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- Convex and pseudoprime ideals in rings of continuous functions
- Idealization of a module
- Unions of minimal prime ideals in rings of continuous functions on compact spaces
- Algebra in a localic topos with applications to ring theory
- A note on Baer rings
- Pure ideals in commutative reduced Gelfand rings with unity
- A subspace of Spec(A) and its connexions with the maximal ring of quotients
- When is \(C(X)/P\) a valuation ring for every prime ideal \(P\)?
- Exercises in classical ring theory.
- Essential ideals in \(C(X)\)
- On the lattice of \(z\)-ideals of a commutative ring
- z-ideals and prime ideals
- Strongly Irreducible Ideals and Truncated Valuations
- Fusible rings
- On the Intrinsic Topology and Some Related Ideals of C(X)
- OnSZ°-Ideals in Polynomial Rings
- Lifting Idempotents and Exchange Rings
- Ideals contracted from each extension ring
- Commutative ideal theory without finiteness conditions: Primal ideals
- On ideals consisting entirely of zero divisors
- d-ideals,f d-ideals and prime ideals
- On the Ideal Structure of C(X)
- On Primal Ideals
- Strongly irreducible ideals of a commutative ring
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