On quasi-Fredholm ideals

On quasi-ideals and bi-ideals in ternary semirings

Good and Hughes [9] introduced the notion of bi-ideal and Steinfeld [11, 12] introduced the notion of quasi-ideal. Sioson [10] studied some properties of quasi-ideals of ternary semigroups. In [1], Dixit and Dewan studied about the quasi-ideals and bi-ideals of ternary semigroups. Quasi-ideals are generalization of right ideals, lateral ideals, and left ideals whereas bi-ideals are generalizati...

On the Kato Decomposition of Quasi–Fredholm and B–Fredholm Operators

We construct a Kato-type decomposition of quasi-Fredholm operators on Banach spaces. This generalizes the corresponding result of Labrousse for Hilbert space operators. The result is then applied to B-Fredholm operators. Denote by B(X) the set of all bounded linear operators acting on a Banach space X. For T ∈ B(X) denote by N(T ) = {x ∈ X : Tx = 0} and R(T ) = TX its kernel and range, respecti...

(λ, μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals

Fuzzy Bi-ideals and Fuzzy Quasi-ideals in Ordered Semirings

The notions of fuzzy bi-ideals and fuzzy quasi-ideals in ordered semirings are introduced and some of their characterizations are obtained through regularity criterion.

Fuzzy Ideals and Fuzzy Quasi-ideals in Ternary Semirings

|We introduce the notions of fuzzy ternary subsemiring, fuzzy ideal and quasi-ideal in ternary semirings and study some properties of these two ideals. We also study the properties of fuzzy ideal and fuzzy quasi-ideal of ternary semirings.