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Concerning \(P\)-frames and the Artin-Rees property

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Publication:2112297
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DOI10.1007/s13348-021-00346-1OpenAlexW4210443273MaRDI QIDQ2112297

Mostafa Abedi

Publication date: 10 January 2023

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-021-00346-1


zbMATH Keywords

regular ringframe\(P\)-frameArtin-Rees propertyfactor rings of \(\mathcal{R}L\)ring of fractions of \(\mathcal{R}L\)


Mathematics Subject Classification ID

Fuzzy topology (54A40) Frames, locales (06D22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)


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Cites Work

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  • A note on the socle of certain types of \(f\)-rings.
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  • Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames
  • Some ring-theoretic properties of almost \(P\)-frames
  • Concerning real-closed ideals in \(\mathcal{R} L\) and SV-frames
  • Notes on pointfree disconnectivity with a ring-theoretic slant
  • z-ideals and prime ideals
  • Coz-onto frame maps and some applications
  • Frames and Locales
  • On lattices of z-ideals of function rings
  • DIVISIBILITY CONDITIONS IN COMMUTATIVE RINGS WITH ZERODIVISORS
  • C- and C*-quotients in pointfree topology
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