On the transfer of the notion directed union of Artinian subrings

DOI10.1007/s13366-014-0231-5zbMath1327.13031OpenAlexW2066063692MaRDI QIDQ747594

Driss Karim

Publication date: 16 October 2015

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-014-0231-5

zbMATH Keywords

polynomial ringlocalizationdirect productdirected union of Artinian subringszero-dimensional ringArtinian ringresidue field

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

• On Jaffard domains
• The family of residue fields of a zero-dimensional commutative ring
• Imbeddability of a commutative ring in a finite-dimensional ring
• A note on the dimension theory of rings
• Products of Commutative Rings and Zero-Dimensionality
• Zero-Dimensionality in Commutative Rings
• Artinian Subrings of a Commutative Ring
• ARTINIAN SUBRINGS OF PRODUCT OF ZERO-DIMENSIONAL RINGS
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