Imbeddability of a commutative ring in a finite-dimensional ring

DOI10.1007/BF02567465zbMath0857.13012MaRDI QIDQ1340665

Robert Gilmer, William J. Heinzer

Publication date: 11 March 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155999

zbMATH Keywords

product of ringsimbeddability in a finite-dimensional ring

Mathematics Subject Classification ID

Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (10)

Products of zero-dimensional pairs ⋮ Every local ring is dominated by a one-dimensional local ring ⋮ On the spectrum of rings of functions ⋮ Commutative ideal theory without finiteness conditions: Primal ideals ⋮ Completions, valuations and ultrapowers of Noetherian domains ⋮ Prime ideals in ultraproducts of commutative rings ⋮ ARTINIAN SUBRINGS OF PRODUCT OF ZERO-DIMENSIONAL RINGS ⋮ On ideals consisting entirely of zero divisors ⋮ On the transfer of the notion directed union of Artinian subrings ⋮ About directed unions of Artinian subrings of a Von Neumann regular ring

Cites Work

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• On the Imbedding of a Direct Product into a Zero-Dimensional Commutative Ring
• Universally contracted ideals in commutative rings
• On pm-rings
• Products of Commutative Rings and Zero-Dimensionality
• Zero-Dimensionality in Commutative Rings
• Artinian Subrings of a Commutative Ring
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal

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