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Semistar-super potent domains

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Publication:2316769
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DOI10.1007/s13366-018-0431-5zbMath1423.13110OpenAlexW2903692054WikidataQ128893721 ScholiaQ128893721MaRDI QIDQ2316769

Sana Hizem, Gmiza Wafa

Publication date: 6 August 2019

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-018-0431-5


zbMATH Keywords

polynomial ringsemistar operationstar operationNagata ringpotent domainstable semistar operationsuper potent domain


Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99)


Related Items

Unnamed Item ⋮ Semistar ascending chain conditions over power series rings



Cites Work

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  • Divided rings and going-down
  • Semistar ascending chain conditions over power series rings
  • \(\star\)-super potent domains
  • Uppers to zero and semistar operations in polynomial rings
  • CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
  • Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
  • Star Operations on Overrings and Semistar Operations
  • Generalized Quotient Rings
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