On the Set of Artinian Subrings of Infinite Products of Rings

DOI10.1007/978-3-319-32902-4_8zbMath1390.13024OpenAlexW2549562982MaRDI QIDQ5738736

Driss Karim, Santiago Zarzuela Armengou

Publication date: 12 June 2017

Published in: Non-Associative and Non-Commutative Algebra and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32902-4_8

zbMATH Keywords

infinite productresidue fieldsvon Neumann regular ringdirected union of Artinian subringszero-dimensional ringArtinian ringsemi-quasilocal ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) General commutative ring theory (13A99)

Cites Work

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• On Jaffard domains
• Products of Commutative Rings and Zero-Dimensionality
• Zero-Dimensionality in Commutative Rings
• Artinian Subrings of a Commutative Ring
• ZERO-DIMENSIONAL SUBRINGS OF A PRODUCT OF COMMUTATIVE RINGS

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