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
Pages
14
From page
149
To page
162
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
Serial Year
2022
Record number
2730029
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