On pseudo-BL-algebras and pseudo-hoops with normal maximal filters

被引:0
|
作者
Michal Botur
Anatolij Dvurečenskij
机构
[1] Palacký University Olomouc,Faculty of Sciences
[2] Slovak Academy of Sciences,Mathematical Institute
来源
Soft Computing | 2016年 / 20卷
关键词
Pseudo-BL-algebra; Pseudo-MV-algebra; Maximal filter; Pseudo-hoop; Unital basic pseudo-hoop; Normal-valued pseudo-BL-algebra; Primary 06D35; Secondary 03B50;
D O I
暂无
中图分类号
学科分类号
摘要
We study the class of pseudo-BL-algebras whose every maximal filter is normal. We present an equational base for this class and we extend these results for the class of basic pseudo hoops with fixed strong unit. This is a continuation of the research from Botur et al. (Soft Comput 16:635–644, doi:10.1007/s00500-011-0763-7, 2012).
引用
收藏
页码:439 / 448
页数:9
相关论文
共 50 条
  • [11] Bounded pseudo-hoops with internal states
    Ciungu, Lavinia Corina
    MATHEMATICA SLOVACA, 2013, 63 (05) : 903 - 934
  • [12] On the Structure of Pseudo BL-algebras and Pseudo Hoops in Quantum Logics
    Dvurecenskij, A.
    Giuntini, R.
    Kowalski, T.
    FOUNDATIONS OF PHYSICS, 2010, 40 (9-10) : 1519 - 1542
  • [13] On the Structure of Pseudo BL-algebras and Pseudo Hoops in Quantum Logics
    A. Dvurečenskij
    R. Giuntini
    T. Kowalski
    Foundations of Physics, 2010, 40 : 1519 - 1542
  • [14] The decomposition of linearly ordered pseudo-hoops
    Ceterchi, Rodica
    SOFT COMPUTING, 2017, 21 (19) : 5631 - 5639
  • [15] The decomposition of linearly ordered pseudo-hoops
    Rodica Ceterchi
    Soft Computing, 2017, 21 : 5631 - 5639
  • [16] Folding theory applied to pseudo-hoops
    Borzooei, R. A.
    Alavi, S. Z.
    Kologani, M. Aaly
    Shin, Sun Ahn
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (01) : 1381 - 1390
  • [17] Pseudo-hoops and non-commutative fuzzy structures
    Yang, Yong-Bao
    Zhang, Xiao-Hong
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2008, : 566 - +
  • [18] On fuzzy filters of pseudo BL-algebras
    Wang, Wei
    Xin, Xiao-long
    FUZZY SETS AND SYSTEMS, 2011, 162 (01) : 27 - 38
  • [19] Fuzzy filters in pseudo hoops
    Alavi, S. Z.
    Borzooei, R. A.
    Kologani, M. Aaly
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (03) : 1997 - 2007
  • [20] Quasi-pseudo-BL algebras and weak filters
    Chen, Wenjuan
    Xu, Jinfan
    SOFT COMPUTING, 2023, 27 (05) : 2185 - 2204