TY - JOUR
T1 - The Space of Fuzzy Minimal Prime Filters In an Almost Distributive Lattice
AU - Amare, Natnael
PY - 2024
DA - April
Y2 - 2024
DO - 10.30931/jetas.1443272
JF - Journal of Engineering Technology and Applied Sciences
JO - JETAS
PB - Muhammet KURULAY
WT - DergiPark
SN - 2548-0391
SP - 23
EP - 32
VL - 9
IS - 1
LA - en
AB - In this paper, we establish and describe the notions of fuzzy minimal prime filters of an Almost Distributive Lattice (ADL). We prove that a fuzzy filter is the point wise infimum of all minimal prime fuzzy filters (all fuzzy minimal prime filters) of an ADL. Mainly, we introduce the topological space on the set of all fuzzy minimal prime filters of an ADL (denoted by M(R)). For an ADL R, we prove that an open set M(R) is a base for the topology and it constitutes a base for the subspace topology on a closed set N and they are the only compact open sets.
KW - Almost distributive lattice (ADL)
KW - fuzzy filter
KW - prime fuzzy filter
KW - minimal prime fuzzy filter
KW - fuzzy prime filter and fuzzy minimal prime filter
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UR - https://doi.org/10.30931/jetas.1443272
L1 - https://dergipark.org.tr/en/download/article-file/3755574
ER -