ROUGH PRIME IDEALS AND ROUGH FUZZY PRIME IDEALS IN GAMMA-SEMIGROUPS

被引：13
|
作者：
Chinram, Ronnason [1 ]
机构：
[1] Prince Songkla Univ, Fac Sci, Dept Math, Songkhla 90112, Thailand
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 24卷 / 03期
关键词：
congruences; Gamma-semigroups; quotient Gamma-semigroups; prime ideals; Theta-lower rough prime ideals; Theta-upper rough prime ideals;
D O I：
10.4134/CKMS.2009.24.3.341
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of rough sets was introduced by Z. Pawlak in the year 1982. The notion of a Gamma-semigroup was introduced by M. K. Sen in the year 1981. In 2003, Y. B. Jun studied the roughness of sub Gamma-semigroups, ideals and bi-ideals in Gamma-semigroups. In this paper, we study rough prime ideals and rough fuzzy prime ideals in Gamma-semigroups.
引用
收藏
页码：341 / 351
页数：11
相关论文
共 50 条
  • [1] Rough prime ideals and rough fuzzy prime ideals in semigroups
    Xiao, QM
    Zhang, ZL
    INFORMATION SCIENCES, 2006, 176 (06) : 725 - 733
  • [2] Prime Fuzzy Ideals, Weakly Prime Fuzzy Ideals of Gamma-semigroups
    Sardar, Sujit Kumar
    Pal, Pavel
    FUZZY INFORMATION AND ENGINEERING, 2013, 5 (04) : 383 - 397
  • [3] Fuzzy Rough Prime and Semi-prime Ideals in Semigroups
    Subha, V. S.
    Thillaigovindan, N.
    Sharmila, S.
    RECENT TRENDS IN PURE AND APPLIED MATHEMATICS, 2019, 2177
  • [4] ON ROUGH FUZZY PRIME IDEALS IN LEFT ALMOST SEMIGROUPS
    Elmoasry, Ahmed
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2021, 19 (03): : 455 - 464
  • [5] On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings
    Kazanci, Osman
    Davvaz, B.
    INFORMATION SCIENCES, 2008, 178 (05) : 1343 - 1354
  • [6] A Novel of Ideals and Fuzzy Ideals of Gamma-Semigroups
    Simuen, Anusorn
    Iampan, Aiyared
    Chinram, Ronnason
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [7] ON THE ORDERED n-PRIME IDEALS IN ORDERED Gamma-SEMIGROUPS
    Siripitukdet, Manoj
    Iampan, Aiyared
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 23 (01): : 19 - 27
  • [8] On Interval-Valued Rough Fuzzy Prime Bi-Ideals of Semigroups
    Subha, V. S.
    Thillaigovindan, N.
    Dhanalakshmi, P.
    RECENT TRENDS IN PURE AND APPLIED MATHEMATICS, 2019, 2177
  • [9] Rough semigroups and rough fuzzy semigroups based on fuzzy ideals
    Wang, Qiumei
    Zhan, Jianming
    OPEN MATHEMATICS, 2016, 14 : 1114 - 1121
  • [10] Fuzzy prime ideals and prime fuzzy ideals
    Zhang, CY
    FUZZY SETS AND SYSTEMS, 1998, 94 (02) : 247 - 251
12345