Geodesic
Vague Weak Interior Ideals of $\Gamma$-Semirings
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 711

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The notion of a { {\rm((}complete-{\rm)} normal{\rm)} vague weak interior ideal} on a {\rm(}{ regular}{\rm)} $\Gamma$-semiring is defined. It is proved that the set of all vague weak interior ideals forms a complete lattice\/. Also, a characterization theorem for a regular $\Gamma$-semiring in terms of vague weak interior ideals is derived. Another interesting consequence of the main result is that the cardinal of a non-constant maximal element in the set of all {\rm(}complete-{\rm)} normal vague weak interior ideals is 2.
Classification : 16Y60, 16Y99, 03E72
Keywords: (Vague) Γ-semiring, left (resp. right) vague ideal, vague (weak) interior ideal, ((complete-) normal) vague weak interior ideal. 
Yella Bhargavi; Akbar Rezaei; Tamma Eswarlal; Sistla Ragamayi. Vague Weak Interior Ideals of $\Gamma$-Semirings. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 711 . http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a4/
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     title = {Vague {Weak} {Interior} {Ideals} of $\Gamma${-Semirings}},
     journal = {Kragujevac Journal of Mathematics},
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