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The Ohm–Rush content function

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Publication:2788754
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DOI10.1142/S0219498816500092zbMath1333.13009arXiv1405.3000MaRDI QIDQ2788754

Neil Epstein, Jay Shapiro

Publication date: 22 February 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3000


zbMATH Keywords

content algebrapower series extensionssemicontent algebra


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Extension theory of commutative rings (13B02)


Related Items (9)

Gaussian elements of a semicontent algebra ⋮ Regularity and intersections of bracket powers ⋮ Extensions of primes, flatness, and intersection flatness ⋮ Vanishing of Tors of absolute integral closures in equicharacteristic zero ⋮ The Ohm-Rush content function III: Completion, globalization, and power-content algebras ⋮ The Ohm–Rush content function II. Noetherian rings, valuation domains, and base change ⋮ Auslander modules ⋮ On zero-divisors of semimodules and semialgebras ⋮ The McCoy property in Ohm-Rush algebras




Cites Work

  • Proprietes et applications de la notion de contenu
  • Content Algebras
  • Content Modules and Algebras.




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