Bi-quasi-interior Ideals

Abstract In this paper, as a further generalization of ideals, we introduce the notion of a bi-quasi-interior ideal as a generalization of ideals, right ideals, left ideals, quasi ideals, bi ideals, interior ideals and quasi interior ideals of a Γ−semigroup and study...

Tri-quasi ideals and Fuzzy Tri-quasi ideals of Semigroups

Abstract In this paper, we introduce the notion of a tri-quasi ideal and a fuzzy tri-quasi ideal as a further generalization of ideals, left ideals, right ideals, bi-ideals, quasi ideals, and interior ideals. We characterize the regular semigroup in terms of tri-quasi...

Inverse Obstacle Scattering With Non-overdetermined Data

Abstract A new proof is given for the uniqueness theorem for inverse obstacle scattering with non-overdetermined scattering data. It is proved that the knowledge of the scattring amplitude for a fixed wave number, fixed direction of the incident field and all...

Right Distributive Bi-algebras

Abstract BI-algebra was introduced in 2017 by A. Borumand Saeid, H. S. Kim and A. Rezaei. Then this class of logical algebras was the focus of many researchers. In this paper, we register an additional property of ideals in right distributive BI-algebras. Then, in...