Abstract: In this paper, we introduce the notion θ-Euclidean k-fuzzy ideal in semirings and to study the properties of the image and pre image of a θ -Euclidean k-fuzzy ideal in a semirings under epimorphism.
Abstract: The notion of k-fuzzy ideals of semirings was introduced
by Kim and Park in 1996. In 2003, Dutta and Kar introduced
a notion of ternary semirings. This structure is a generalization of
ternary rings and semirings. The main purpose of this paper is to
introduce and study k-fuzzy ideals in ternary semirings analogous to
k-fuzzy ideals in semirings considered by Kim and Park.