Which fields have no maximal subrings?

DOI10.4171/RSMUP/126-12zbMath1234.13009OpenAlexW2060207777MaRDI QIDQ661361

Omid Ali Shahny Karamzadeh, Alborz Azarang

Publication date: 10 February 2012

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/240472

zbMATH Keywords

fieldsringsmaximal subrings

Mathematics Subject Classification ID

General commutative ring theory (13A99)

Related Items (11)

Conch maximal subrings ⋮ Hereditary properties between a ring and its maximal subrings ⋮ Unnamed Item ⋮ Maximal subrings of classical integral domains ⋮ Hilbert rings and G(oldman)-rings issued from amalgamated algebras ⋮ 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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• Some conditions for finiteness and commutativity of rings
• On finiteness of rings with finite maximal subrings
• ON THE EXISTENCE OF MAXIMAL SUBRINGS IN COMMUTATIVE ARTINIAN RINGS
• Algebraic Function Fields and Codes
• Infinite Algebraic Extensions of Finite Fields
• ALGEBRAS WITH A FINITE-DIMENSIONAL MAXIMAL SUBALGEBRA
• The finiteness of a ring with a finite maximal subring

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