ARTINIAN SUBRINGS OF PRODUCT OF ZERO-DIMENSIONAL RINGS

DOI10.1081/AGB-200053799zbMath1084.13008MaRDI QIDQ4681019

Driss Karim

Publication date: 14 June 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

zero-dimensional pairzero-dimensional ringquasi-local ringArtinian ringArtinian subringhereditarily zero-dimensional ringinfinite product of rings

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (1)

On the transfer of the notion directed union of Artinian subrings

Cites Work

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• The family of residue fields of a zero-dimensional commutative ring
• Imbeddability of a commutative ring in a finite-dimensional ring
• Products of Commutative Rings and Zero-Dimensionality
• Artinian Subrings of a Commutative Ring
• The Krull Dimensions of Tensor Products of Commutative Algebras over a Field
• ZERO-DIMENSIONAL SUBRINGS OF A PRODUCT OF COMMUTATIVE RINGS

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