A characterization of commutative rings whose maximal ideal spectrum is Noetherian

DOI10.1142/S0219498818500032zbMath1387.13014MaRDI QIDQ4599693

E. Rostami, Sina Hedayat

Publication date: 4 January 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

comaximal factorizationpseudo-irreducible idealJ-radical idealNoetherian maximal spectrum

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (13)

A closer look at primal and pseudo-irreducible ideals with applications to rings of functions ⋮ Comaximal factorization of lifting ideals ⋮ On S-pseudo-irreducible ideals ⋮ On strongly J-Noetherian rings ⋮ A characterization of commutative rings whose maximal ideal spectrum is Noetherian ⋮ On modules satisfying \(S\)-Noetherian spectrum condition ⋮ Unnamed Item ⋮ J-Noetherian Bezout domain which is not of stable range 1 ⋮ The flat topology on the minimal and maximal prime spectrum of a commutative ring ⋮ U-factorization of ideals ⋮ Decomposition of modules into modules whose annihilators are pseudo-irreducible ⋮ Factorization of ideals ⋮ Module-theoretic generalization of commutative von Neumann regular rings

Cites Work

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• Unique comaximal factorization
• Rings with Noetherian spectrum
• Decomposition of ideals into pseudo-irreducible ideals
• A characterization of commutative rings whose maximal ideal spectrum is Noetherian
• Prime Ideal Structure in Commutative Rings

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