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Commutative rings in which zero-components of essential primes are essential

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Publication:4594931
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DOI10.1142/S0219498817502048zbMath1387.13011OpenAlexW2553056585MaRDI QIDQ4594931

Themba Dube

Publication date: 27 November 2017

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

Full work available at URL: https://doi.org/10.1142/s0219498817502048

zbMATH Keywords

commutative ringradical ideal\(f\)-ringalgebraic frameessential prime idealpure part of an idealzero-component of a prime ideal


Mathematics Subject Classification ID

Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Rings of fractions and localization for commutative rings (13B30)


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Cites Work

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  • Pure ideals in commutative reduced Gelfand rings with unity
  • Essential ideals in \(C(X)\)
  • Intersections of essential (resp. free) maximal ideals of \(C(X)\)
  • z-ideals and prime ideals
  • Patch-generated frames and projectable hulls
  • Frames and Locales
  • The space of prime ideals of a ring
  • On pm-rings
  • COMMENTS REGARDING d-IDEALS OF CERTAIN f-RINGS
  • Sublattices Generated by Polars
  • Rings of Integer-Valued Continuous Functions
  • Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal
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