FUZZY NIL RADICALS AND FUZZY SEMIPRIMARY IDEALS OF RINGS

被引：3
|
作者：
KUMAR, R [1 ]
机构：
[1] UNIV DELHI,PGDAV COLL E,DEPT MATH,DELHI 110007,INDIA
来源：
FUZZY SETS AND SYSTEMS | 1992年 / 51卷 / 03期
关键词：
FUZZY IDEAL;
D O I：
10.1016/0165-0114(92)90025-Y
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
An attempt is made to define a fuzzy semiprimary ideal by using the idea of the fuzzy nil radical of a fuzzy ideal. The level ideals of such a fuzzy ideal are examined and the ring of fuzzy cosets of such a fuzzy ideal is studied. The algebraic nature of such fuzzy ideals under homomorphisms is also ascertained.
引用
收藏
页码：345 / 350
页数：6
相关论文
共 50 条
  • [1] FUZZY SEMIPRIMARY IDEALS OF RINGS
    KUMAR, R
    FUZZY SETS AND SYSTEMS, 1991, 42 (02) : 263 - 272
  • [2] Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings
    Jun, Young Bae
    Oztuerk, Mehmet Ali
    Park, Chul Hwan
    INFORMATION SCIENCES, 2007, 177 (21) : 4662 - 4677
  • [3] FUZZY NIL RADICALS AND FUZZY PRIMARY IDEALS
    KUMAR, R
    FUZZY SETS AND SYSTEMS, 1991, 43 (01) : 81 - 93
  • [4] ON FUZZY SEMIPRIMARY IDEALS
    ZAHEDI, MM
    INFORMATION SCIENCES, 1995, 82 (3-4) : 257 - 266
  • [5] Intuitionistic fuzzy 2-absorbing semiprimary ideals of commutative rings
    Onar, Serkan
    Yavuz, Sanem
    Ersoy, Bayram Ali
    Hila, Kostaq
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2022, 25 (08): : 2353 - 2368
  • [6] Applications of Fuzzy Semiprimary Ideals under Group Action
    Ali, Asma
    Alali, Amal S.
    Zishan, Arshad
    AXIOMS, 2023, 12 (06)
  • [7] RADICALS OF FUZZY IDEALS
    MALIK, DS
    MORDESON, JN
    INFORMATION SCIENCES, 1992, 65 (03) : 239 - 252
  • [8] Fuzzy soft rings and fuzzy soft ideals
    Inan, Ebubekir
    Ozturk, Mehmet Ali
    NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S1 - S8
  • [9] Fuzzy soft rings and fuzzy soft ideals
    Ebubekir İnan
    Mehmet Ali Öztürk
    Neural Computing and Applications, 2012, 21 : 1 - 8
  • [10] On Weakly δ-Semiprimary Ideals of Commutative Rings
    Badawi, Ayman
    Sonmez, Deniz
    Yesilot, Gursel
    ALGEBRA COLLOQUIUM, 2018, 25 (03) : 387 - 398
12345