TY - JOUR
A2 - Al-shami, Tareq
AU - Gubena, Yeshiwas Mebrat
AU - Alemayehu, Teferi Getachew
PY - 2023
DA - 2023/01/13
TI - Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL
SP - 4926900
VL - 2023
AB - In this paper, the space Fp of fuzzy prime ideals of Heyting almost distributive lattice H is studied, and it is shown that the collection of all sets Mη is a topology on Fp, where η is a fuzzy ideal on H and Mη=θ∈Fp|η⊈θ. The only compact subset of the space Fp is given. A fuzzy congruence relation Θ on H is defined, and the homomorphism between the set of all fuzzy ideals of H and the set of all fuzzy ideals of H/Θ is established. Furthermore, we established an isomorphism between fuzzy spectrum of H and fuzzy spectrum of H/Θ.
SN - 2314-4629
UR - https://doi.org/10.1155/2023/4926900
DO - 10.1155/2023/4926900
JF - Journal of Mathematics
PB - Hindawi
KW -
ER -