Title of article :
Characterizations of J-prime ideals and Mj-ideals in posets
Author/Authors :
Grace John, J Catherine Department of Mathematics - Karunya Institute of Technology and Sciences, Tamilnadu, India , Elavarasan, B. Department of Mathematics - Karunya Institute of Technology and Sciences, Tamilnadu, India
Abstract :
In this paper, we introduce the concepts of -prime ideals and -ideals in posets, and obtain some of their interesting characterizations in posets. Furthermore, we discuss the properties of -ideals that are analogous to -prime ideals and -ideals in posets. Finally, we establish a set of equivalent conditions for an ideal in a poset containing an ideal is an -ideal, and for a semi-prime ideal to be an -ideal of .
Keywords :
Ideal , J-prime ideal , Mj-ideal , m-system , Poset , Prime ideal
Journal title :
Journal of Algebraic Structures and Their Applications
