ON PRIME AND PRIMARY FUZZY IDEALS AND THEIR RADICALS

被引：22

作者：

KUMBHOJKAR, HV ^{[1
]}

BAPAT, MS ^{[1
]}

机构：

[1] WILLINGDON COLL,SANGLI 416415,INDIA

来源：

FUZZY SETS AND SYSTEMS | 1993年 / 53卷 / 02期

关键词：

FUZZY IDEALS; FUZZY PRIME IDEALS; FUZZY PRIMARY IDEALS; RADICAL OF A FUZZY IDEAL;

D O I：

10.1016/0165-0114(93)90174-G

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The merits and demerits of various definitions of prime and primary fuzzy ideals are discussed and new definitions are suggested. It is shown that the new definitions are more satisfactory. The nil radical is defined as against the (prime) radical of a fuzzy ideal. Some theorems regarding the nil radical are proved. It is shown that the two radicals coincide when the grade membership lattice is totally ordered.

引用

页码：203 / 216

页数：14

共 15 条

[1]

Atiyah M.F., 1969, INTRO COMMUTATIVE AL

[2]

Crawley P., 1973, ALGEBRAIC THEORY LAT

[3] L-FUZZY SETS [J].