Characterization of 2-Primal Near-Rings  

作　　者：C.SELVARAJ L.MADHUCHELVI 

机构地区：[1]Department of Mathematics,Periyar University,Salem-636011,Tamilnadu,India [2]Department of Mathematics,Sri Sarada College,Salem-636016,Tamilnadu,India

出　　处：《Journal of Mathematical Research with Applications》2012年第1期19-25,共7页数学研究及应用（英文版）

摘　　要：In 1999, Kim and Kwak asked one question that ＂Is a ring R 2-primal if Op C P for each P ∈ mSpec（R）？＇. In this paper, we prove that if Op has the IFP for each P ∈ mSpec（N）, then OR C P for each P ∈ mSpec（N） if and only if N is a 2-primal near-ring and also we give characterization of 2-primal nearrings by using its minimal O-prime ideals.In 1999, Kim and Kwak asked one question that ＂Is a ring R 2-primal if Op C P for each P ∈ mSpec（R）？＇. In this paper, we prove that if Op has the IFP for each P ∈ mSpec（N）, then OR C P for each P ∈ mSpec（N） if and only if N is a 2-primal near-ring and also we give characterization of 2-primal nearrings by using its minimal O-prime ideals.

关 键 词：2-primal completely prime completely semiprime. 

分 类 号：O153.3[理学—数学]