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Arrays of prime ideals in commutative rings.

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Publication:1870089
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DOI10.1016/S0021-8693(02)00666-XzbMath1074.13008MaRDI QIDQ1870089

George M. Bergman

Publication date: 4 May 2003

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


zbMATH Keywords

tensor product of algebrasmultiplicative monoidarrays of prime idealsrealization of templaterealizing arrays of pairs


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99)


Related Items (4)

A note on lifting of chains of prime ideals ⋮ Realizations of pairs and Oka families in tensor triangulated categories ⋮ Lifting of primes and dimension of tensor product of rings ⋮ On chain morphisms of commutative rings



Cites Work

  • Rational functions invariant under a finite Abelian group
  • Arithmetic of finite ordered sets: Cancellation of exponents. I
  • The Krull Dimensions of Tensor Products of Commutative Algebras over a Field
  • Prime Ideal Structure in Commutative Rings
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