A closer look at primal and pseudo-irreducible ideals with applications to rings of functions
From MaRDI portal
Publication:5887572
DOI10.1080/00927872.2022.2146312OpenAlexW4310056210MaRDI QIDQ5887572
F. Azarpanah, Z. Keshtkar, Ebrahim Ghashghaei
Publication date: 13 April 2023
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2022.2146312
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) Arithmetic rings and other special commutative rings (13F99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On ideals of ideals in \(C(X)\)
- Generalized comaximal factorization of ideals
- Exchange PF-rings and almost PP-rings
- When is \(C(X)\) a clean ring?
- Convex and pseudoprime ideals in rings of continuous functions
- On the components of ideals in commutative rings
- Neat rings
- Unions of minimal prime ideals in rings of continuous functions on compact spaces
- The minimal prime spectrum of a reduced ring
- Algebra in a localic topos with applications to ring theory
- Sheaves of integral domains on Stone spaces
- Pure ideals in commutative reduced Gelfand rings with unity
- Commutative coherent rings
- When is \(C(X)/P\) a valuation ring for every prime ideal \(P\)?
- On the compactness of minimal spectrum
- Algebraic properties of some compact spaces
- Unique comaximal factorization
- Essential ideals in \(C(X)\)
- Tychonoff spaces and a ring theoretic order on \(C(X)\)
- Local types of classical rings
- Depth of ideals of \(C(X)\)
- Two characterizations of commutative Baer rings
- Rings in which semi-primary ideals are primary
- Ideal structure of the classical ring of quotients of \(C(X)\)
- Intersections of essential minimal prime ideals
- Goldie dimension of rings of fractions ofC(X)
- Decomposition of ideals into pseudo-irreducible ideals
- On the Intrinsic Topology and Some Related Ideals of C(X)
- Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
- C(X): Something old and something new
- GENERALIZATIONS OF COMPLEMENTED RINGS WITH APPLICATIONS TO RINGS OF FUNCTIONS
- Order-Cauchy Completions of Rings and Vector Lattices of Continuous Functions
- On pm-rings
- Bezout and prufer f-rings
- Lifting Idempotents and Exchange Rings
- A characterization of commutative rings whose maximal ideal spectrum is Noetherian
- TORSION-FREENESS FOR RINGS WITH ZERO-DIVISORS
- Commutative ideal theory without finiteness conditions: Primal ideals
- OnC(X) Modulo its Socle
- Variations of essentiality of ideals in commutative rings
- Rings over which every semi-primary ideal is 1-absorbing primary
- Associated Prime Ideals in Non-Noetherian Rings
- Annihilator-stability and unique generation in C(X)
- A Remark on Arithmetical Rings
- On the Ideal Structure of C(X)
- Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal
- A CONDITION UNDER WHICH AN IRREDUCIBLE IDEAL IS PRIMARY
- On Primal Ideals
This page was built for publication: A closer look at primal and pseudo-irreducible ideals with applications to rings of functions