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<p>The minimal prime elements of algebraic frames with the finite intersection property (FIP) can be characterized as those prime elements which are the joins of the pseudo-complements of all compact elements not below the said prime. Our goal is to study the class of algebraic frames with this latter property, generalizing the FIP case.</p>

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Algebraic Frames and Minimal Prime Elements

  • 期刊论文

  • 发表日期：

    2026年5月1日

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  • Papiya Bhattacharjee,
  • Albert Madinya,
  • Warren Wm. McGovern

摘要

The minimal prime elements of algebraic frames with the finite intersection property (FIP) can be characterized as those prime elements which are the joins of the pseudo-complements of all compact elements not below the said prime. Our goal is to study the class of algebraic frames with this latter property, generalizing the FIP case.