On zero-dimensionality and fragmented rings

DOI10.1017/S0004972700033402zbMath0964.13002OpenAlexW2141414390MaRDI QIDQ4265867

Coykendall, Jim, Bernadette Mullins, David E. Dobbs

Publication date: 29 November 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700033402

zbMATH Keywords

von Neumann regular ringszero-dimensional ringsfinite products of fieldsfragmented rings

Mathematics Subject Classification ID

Valuation rings (13F30) Integral dependence in commutative rings; going up, going down (13B21) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Divisibility and factorizations in commutative rings (13A05) Finite commutative rings (13M99)

Cites Work

• Unnamed Item
• Factorization in commutative rings with zero divisors
• The spectrum of a ring as a partially ordered set
• The half-factorial property in integral extensions
• Modules over commutative regular rings

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