Some results in hoop algebras

被引：25
|
作者：
Namdar, A. [1 ]
Borzooei, R. A. [2 ]
Saeid, A. Borumand [3 ]
Kologani, M. Aaly [2 ]
机构：
[1] Islamic Azad Univ, Kerman Branch, Dept Math, Kerman, Iran
[2] Shahid Beheshti Univ, Dept Math, Tehran, Iran
[3] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2017年 / 32卷 / 03期
关键词：
Hoop algebra; (Obstinate) filter; (Quasi) local hoop;
D O I：
10.3233/JIFS-152553
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we introduce the notion of obstinate filter in hoop algebras and study the relationship between this notion and other types of filters in hoops, we show that every obstinate filter is a fantastic and perfect filter and collect all of the relationships in a diagram. Finally, we define the notion of locally finite hoop and we show that if F is an obstinate filter, then A / F is a locally finite hoop.
引用
收藏
页码：1805 / 1813
页数：9
相关论文
共 50 条
  • [1] SPECIAL HOOP ALGEBRAS
    Namdar, A.
    Borzooei, R. A.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (39): : 334 - 349
  • [2] (Generalized) Derivation on Hoop Algebras
    Namdar, A.
    Borumand Saeid, A.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2024, 20 (02) : 451 - 471
  • [3] Graphs Based on Hoop Algebras
    Kologani, Mona Aaly
    Borzooei, Rajab Ali
    Kim, Hee Sik
    MATHEMATICS, 2019, 7 (04):
  • [4] Nodal filters in hoop algebras
    Namdar, A.
    Borzooei, R. A.
    SOFT COMPUTING, 2018, 22 (21) : 7119 - 7128
  • [5] Nodal filters in hoop algebras
    A. Namdar
    R. A. Borzooei
    Soft Computing, 2018, 22 : 7119 - 7128
  • [6] SOME RESULTS ON SUBTRACTION ALGEBRAS
    Ceven, Yilmaz
    Ozturk, Mehmet Ali
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2009, 38 (03): : 299 - 304
  • [7] Free Łukasiewicz and Hoop Residuation Algebras
    Joel Berman
    W. J. Blok
    Studia Logica, 2004, 77 (2) : 153 - 180
  • [8] Quotient hyper hoop-algebras
    1600, Forum-Editrice Universitaria Udinese SRL
  • [9] Smarandache Strong Hoop-algebras
    Khorami, R. Tayebi
    Saeid, A. Borumand
    JOURNAL OF MATHEMATICAL EXTENSION, 2019, 13 (03) : 121 - 133
  • [10] QUOTIENT HYPER HOOP-ALGEBRAS
    Borzooei, R. A.
    Varasteh, H. R.
    Borna, K.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, (36): : 87 - 100
12345