Maximal Prime Ideals in Generalized Almost Distributive Fuzzy Lattices

The Maximal Prime Ideals (MPIs) in Generalized Almost Distributive Fuzzy Lattices are presented in this article (GADFL). In GADFL, we have also deduced certain properties and characteristic theorems of MPIs. Further, we have also derived the following theorems: let I_f and J_f be two ideals of GADFL L(R_f,A_f). Then I_f∧J_f is a MPI belonging to both I_f and J_f and finally, every ideal of GADFL L(R_f,A_f) is the union of all MPIs containing it.

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Publication Details

Journal
Journal of Information Systems Engineering & Management
Published
2025-04-26
DOI
https://doi.org/10.52783/jisem.v10i40s.7470
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

Maximal Prime Ideals in Generalized Almost Distributive Fuzzy Lattices

T. Sangeetha
Journal of Information Systems Engineering & Management
Fuzzy and Soft Set Theory
article

Maximal Prime Ideals in Generalized Almost Distributive Fuzzy Lattices

T. Sangeetha
article en

Abstract

The Maximal Prime Ideals (MPIs) in Generalized Almost Distributive Fuzzy Lattices are presented in this article (GADFL). In GADFL, we have also deduced certain properties and characteristic theorems of MPIs. Further, we have also derived the following theorems: let I_f and J_f be two ideals of GADFL L(R_f,A_f). Then I_f∧J_f is a MPI belonging to both I_f and J_f and finally, every ideal of GADFL L(R_f,A_f) is the union of all MPIs containing it.

Journal of Information Systems Engineering & ManagementVol. 10(40s)
Openalex Percentile: Top 89%
Fuzzy and Soft Set Theory
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Maximal Prime Ideals in Generalized Almost Distributive Fuzzy Lattices — T. Sangeetha · Journal of Information Systems Engineering & Management (2025) | TGRS Research Map | TGRS