Radical Structures of Fuzzy Polynomial Ideals in a Ring

被引：0
|
作者：
Kim, Hee Sik [1 ]
Kim, Chang Bum [2 ]
So, Keum Sook [3 ]
机构：
[1] Hanyang Univ, Dept Math, Seoul 133791, South Korea
[2] Kookmin Univ, Dept Math, Seoul 136702, South Korea
[3] Hallym Univ, Dept Math, Chunchon 200702, South Korea
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2016年 / 2016卷
关键词：
D O I：
10.1155/2016/7821678
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the radical structure of a fuzzy polynomial ideal induced by a fuzzy ideal of a ring and study its properties. Given a fuzzy idea beta of R and a homomorphism f : R -> R', we show that if f, is the induced homomorphism of f, that is, f(x) (Sigma(n)(i=0)a(i)x(i)) = Sigma(n)(i-0) f(a(i))x(l), then f(x)(-1) [(root beta)(x)] = (root f(-1) (beta))(x).
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页数：5
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