Article in press
Authors:
Title:
Characterizations of $f$-prime ideals in posets
PDFSource:
Discussiones Mathematicae - General Algebra and Applications
Accepted: 2023-04-03 , Available online: 2023-04-03 , https://doi.org/10.7151/dmgaa.1437
Abstract:
In this article, we look at the ideas of $f$-prime ideals and $f$-semi-prime
ideals of posets, as well as the many features of $f$-primeness and
$f$-semi-primeness in posets. Classifications of $f$ semi-prime ideals in
posets are derived, as well as representations of a $f$ semi-prime ideal to be
$f$ prime. Furthermore, the $f$-prime ideal separation theorem is addressed.
Keywords:
poset, semi-ideals, $f$-prime ideal, $f$-semi prime ideal, $m$-system
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