ON THE EXISTENCE OF MAXIMAL SUBRINGS IN COMMUTATIVE ARTINIAN RINGS

DOI10.1142/S0219498810004208zbMath1204.13008OpenAlexW4240329333MaRDI QIDQ3056458

Omid Ali Shahny Karamzadeh, Alborz Azarang

Publication date: 12 November 2010

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

Full work available at URL: https://doi.org/10.1142/s0219498810004208

zbMATH Keywords

Artinian ringMaximal subring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Other special types of modules and ideals in commutative rings (13C13) Commutative ring extensions and related topics (13B99)

Related Items (14)

Conch maximal subrings ⋮ Prime avoidance property ⋮ Hereditary properties between a ring and its maximal subrings ⋮ Unnamed Item ⋮ Maximal subrings of classical integral domains ⋮ Which fields have no maximal subrings? ⋮ Groups with all subgroups subnormal or nilpotent-by-Chernikov. ⋮ Maximal non $\lambda$-subrings ⋮ On maximal commutative subrings of non-commutative rings ⋮ Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions ⋮ On the existence of maximal subrings in commutative noetherian rings ⋮ The Space of Maximal Subrings of a Commutative Ring ⋮ A Zariski topology on integrally closed maximal subrings of a commutative ring ⋮ Commutative rings with infinitely many maximal subrings

Cites Work

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• A classification of the minimal ring extensions of an integral domain
• A classification of the minimal ring extensions of certain commutative rings
• On finiteness of rings with finite maximal subrings
• Maximal non-Noetherian subrings of a domain.
• Homomorphismes minimaux d'anneaux
• Every Commutative Ring Has a Minimal Ring Extension
• A Sufficient Condition for a Minimal Ring Extension to Be an Overring

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