On weakly regular semi group

被引：1
|
作者：
Ahmad, Shaimaa H. [1 ]
Mahmood, Raida D. [1 ]
Khalil, Shahla M. [1 ]
机构：
[1] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul 41002, Iraq
来源：
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2021年 / 24卷 / 06期
关键词：
Fuzzy ideal; Fuzzy interior; Bi-ideal;
D O I：
10.1080/09720529.2021.1957179
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A semi group K is defined to be right (left) weakly regular if for all a is an element of K, a is an element of aKaK(a is an element of KaKa). In this paper, we show the following results: Let K be a W- regular semi group. Then: (1) Any AF interior ideal lambda of K is, a) idempotent. b) l* M <= lambda boolean OR M for any AF right ideal M of K. c) ( lambda* M) boolean OR (M* lambda) <= lambda boolean OR M for any AF interior ideal M of K. (2) lambda* K * lambda= lambda, for any AF bi-ideal lambda of K.
引用
收藏
页码：1837 / 1843
页数：7
相关论文
共 50 条
  • [1] GROUP-REPRESENTATIONS WEAKLY EQUIVALENT TO THE REGULAR REPRESENTATION
    BEKKA, M
    DELAHARPE, P
    BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1994, 122 (03): : 333 - 342
  • [2] ON CYCLIC SEMI-REGULAR GROUP DIVISIBLE DESIGNS
    MUKERJEE, R
    JIMBO, M
    KAGEYAMA, S
    OSAKA JOURNAL OF MATHEMATICS, 1987, 24 (02) : 395 - 407
  • [3] CLASSIFICATION OF SEMI-REGULAR GROUP DIVISIBLE DESIGNS
    MUKERJEE, R
    KAGEYAMA, S
    ARS COMBINATORIA, 1988, 25 : 51 - 57
  • [4] SERIES OF SEMI-REGULAR GROUP DIVISIBLE DESIGNS
    JOHN, PWM
    COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1977, 6 (14): : 1385 - 1392
  • [5] Via semi α-regular weakly in ideal topological spaces on continuous and irresolute functions
    Jasim, Taha H.
    Hussaen, Reem Z.
    Jaafar, Zainab A.
    Hussain, Ahmed Hadi
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (07) : 1955 - 1963
  • [6] Semiregular, weakly regular, and π-regular rings
    Tuganbaev A.A.
    Journal of Mathematical Sciences, 2002, 109 (3) : 1509 - 1588
  • [7] Weakly regular *-semigroups
    Rui, CX
    SEMIGROUP FORUM, 1999, 58 (03) : 463 - 465
  • [8] Weakly Regular Subdivisions
    Lionel Pournin
    Discrete & Computational Geometry, 2012, 47 : 106 - 116
  • [9] Weakly regular *-semigroups
    Changxiang Rui
    Semigroup Forum, 1999, 58 : 463 - 465
  • [10] WEAKLY REGULAR RINGS
    RAMAMURT.VS
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1973, 16 (03): : 317 - 321
12345