学术探索
学术期刊
新闻热点
数据分析
智能评审

CERTAIN FUZZY IDEALS OF RINGS REDEFINED

被引：36
作者：
KUMAR, R
机构：
[1] Department of Mathematics, P.G.D.A.V. College(E), University of Delhi, New Delhi, 110 065, Nehru Nagar, Ring Road
来源：
FUZZY SETS AND SYSTEMS | 1992年 / 46卷 / 02期
关键词：
FUZZY SEMIPRIMARY IDEAL; FUZZY PRIMARY IDEAL; FUZZY PRIME IDEAL; FUZZY MAXIMAL IDEAL; FUZZY NIL RADICAL; FUZZY COSET;
D O I：
10.1016/0165-0114(92)90138-T
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
An attempt is made to redefine fuzzy semiprimary, fuzzy primary, fuzzy prime and fuzzy maximal ideals of rings. These fuzzy ideals are characterized by their level ideals. Fuzzy analogues of various results concerning semiprimary, primary, prime and maximal ideals are obtained. The concept of a fuzzy nil radical of a fuzzy ideal is also formulated and discussed.
引用
收藏
页码：251 / 260
页数：10
相关论文
共 27 条
[1]   ON TERT-FUZZY SUBFIELD AND TERT-FUZZY VECTOR SUBSPACES [J].
ABUOSMAN, MT .
FUZZY SETS AND SYSTEMS, 1989, 33 (01) :111-117
[2]   FUZZY GROUPS REDEFINED [J].
ANTHONY, JM ;
SHERWOOD, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 69 (01) :124-130
[3]  
Atiyah M. F., 1969, INTRO COMMUTATIVE AL
[4]   FUZZY FIELDS AND FUZZY LINEAR-SPACES REDEFINED [J].
BISWAS, R .
FUZZY SETS AND SYSTEMS, 1989, 33 (02) :257-259
[5]   FUZZY VECTOR-SPACES UNDER TRIANGULAR NORMS [J].
DAS, P .
FUZZY SETS AND SYSTEMS, 1988, 25 (01) :73-85
[6]   FUZZY GROUPS AND LEVEL SUBGROUPS [J].
DAS, PS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 84 (01) :264-269
[7]   FUZZY IDEALS AND FUZZY PRIME IDEALS OF A RING [J].
DIXIT, VN ;
KUMAR, R ;
AJMAL, N .
FUZZY SETS AND SYSTEMS, 1991, 44 (01) :127-138
[8]   LEVEL SUBGROUPS AND UNION OF FUZZY SUBGROUPS [J].
DIXIT, VN ;
KUMAR, R ;
AJMAL, N .
FUZZY SETS AND SYSTEMS, 1990, 37 (03) :359-371
[9]  
DIXIT VN, IN PRESS FUZZY RINGS
[10]   THE HOMOMORPHIC IMAGE OF A FUZZY SUBGROUP IS ALWAYS A FUZZY SUBGROUP [J].
EROGLU, MS .
FUZZY SETS AND SYSTEMS, 1989, 33 (02) :255-256
123