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Algebraic Frames and Minimal Prime Elements

delete2026-05-01
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PRE
AI
B
Bhattacharjee, Papiya
M
Madinya, Albert
W
Warren Wm. McGovern *
DOI:10.1007/s11083-026-09734-3delete
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Abstract

Abstract

En 中文
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.
Keywords:
Algebraic frame
Prime elements
Ultrafilters

Journal

O
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS
IF:
0.3
Papers:
27
Citations:
0

Organization

State University System of Florida cover
State University System of Florida
Scholars:
12.8W
Papers: 10.9W
Citations: 130
F
Florida Atlantic University
Scholars:
3.2K
Papers: 2.5K
Citations: 4.8K
Cited Papers

Cited Papers

Topological aspects of Poset spaces
err2010-04-01
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PREAI
errMummert,Carl; Stephan,Frank
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Frames and Locales
err2012-01-01
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PREAI
errJorge Picado; Aleš Pultr
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Archimedean lattices
err1973-12-01
err0
PREAI
errJ. Martinez
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A Compendium of Continuous Lattices
err
IF0
err1980-01-01
err0
PREAI
errGerhard Gierz; Karl Heinrich Hofmann; Klaus Keimel; Jimmie D. Lawson; Michael W. Mislove; Dana S. Scott
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errShare
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Introduction
err1971-01-01
err0
PREAI
errTakeuti,Gaisi; Zaring,Wilson M.
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