Open AccessN Sequence Prime Ideals
Author(s) -
Hemin A. Ahmad,
Parween A. Hummadi
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.10.25
Subject(s) - ideal (ethics) , prime (order theory) , prime ideal , boolean prime ideal theorem , prime element , mathematics , sequence (biology) , associated prime , minimal ideal , radical of an ideal , principal ideal , fractional ideal , maximal ideal , discrete mathematics , combinatorics , principal ideal ring , political science , chemistry , law , biochemistry , commutative ring , commutative property
In this paper, the concepts of -sequence prime ideal and -sequence quasi prime ideal are introduced. Some properties of such ideals are investigated. The relations between -sequence prime ideal and each of primary ideal, -prime ideal, quasi prime ideal, strongly irreducible ideal, and closed ideal, are studied. Also, the ideals of a principal ideal domain are classified into quasi prime ideals and -sequence quasi prime ideals.