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Title: CHARACTERIZATIONS OF F-PRIME IDEALS IN POSETS.
Authors: JOHN, J. CATHERINE GRACE; VIVIK, J. VENINSTINE; DIVYA, P. S.
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.
Subjects: PRIME ideals; PARTIALLY ordered sets; CLASSIFICATION
Publication: Discussiones Mathematicae: General Algebra & Applications, 2024, Vol 44, Issue 2, p413
ISSN: 1509-9415
Publication type: Academic Journal
DOI: 10.7151/dmgaa.1437

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CHARACTERIZATIONS OF F-PRIME IDEALS IN POSETS.