On Rings Whose Strongly Prime Ideals Are Completely Prime

被引：4
|
作者：
Huh, Chan [1 ]
Lee, Chang Ik [1 ]
Lee, Yang [2 ]
机构：
[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
[2] Pusan Natl Univ, Dept Math Educ, Pusan 609735, South Korea
来源：
ALGEBRA COLLOQUIUM | 2010年 / 17卷 / 02期
关键词：
K-ring; (strongly) NI ring; strongly prime ideal;
D O I：
10.1142/S1005386710000295
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Kaplansky introduced the concept of the K-rings, concerning the commutativity of rings. In this paper, we concentrate on a property of K-rings, introducing the concept of the strongly NI rings, which is stronger than NI-ness. We first examine the relations among the concepts concerned with K-rings and strongly NI rings, constructing necessary examples in the process. We also show that strong NI-ness is a hereditary radical property.
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页码：283 / 294
页数：12
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