Quantum Implication Algebras

被引：0
|
作者：
Norman D. Megill
Mladen Pavičić
机构：
[1] Boston Information Group,Gradjevinski fakultet
[2] University of Zagreb,undefined
来源：
International Journal of Theoretical Physics | 2003年 / 42卷
关键词：
implication algebras; quantum implication algebras; semiorthomodular lattices; orthomodular lattices; orthomodular implication algebras; join semilattices;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Quantum implication algebras without complementation are formulated with the same axioms for all five quantum implications. Previous formulations of orthoimplication, orthomodular implication, and quasi-implication algebras are analyzed and put in perspective to each other and our results.
引用
收藏
页码：2807 / 2822
页数：15
相关论文
共 50 条
  • [31] Implication in MV-algebras
    Chajda, I
    Halas, R
    Kühr, J
    ALGEBRA UNIVERSALIS, 2005, 52 (04) : 377 - 382
  • [32] PROPERTIES OF IMPLICATION IN EFFECT ALGEBRAS
    Chajda, Ivan
    Laenger, Helmut
    MATHEMATICA SLOVACA, 2021, 71 (03) : 523 - 534
  • [33] Soft Lattice Implication Algebras
    Liu, Yi
    Qin, Ya
    Qin, Xiaoyan
    Xu, Yang
    2010 THE 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND INDUSTRIAL APPLICATION (PACIIA2010), VOL IV, 2010, : 60 - 63
  • [34] ON DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS
    Zhu, Hua
    Zhao, Jianbin
    Xu, Weitao
    Xu, Yang
    UNCERTAINTY MODELING IN KNOWLEDGE ENGINEERING AND DECISION MAKING, 2012, 7 : 775 - 780
  • [35] Quantum cluster algebras and quantum nilpotent algebras
    Goodearl, Kenneth R.
    Yakimov, Milen T.
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2014, 111 (27) : 9696 - 9703
  • [36] Quantum function algebras as quantum enveloping algebras
    Gavarini, F
    COMMUNICATIONS IN ALGEBRA, 1998, 26 (06) : 1795 - 1818
  • [37] Quantum implication
    Román, L
    Zuazua, RE
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (03) : 793 - 797
  • [38] Quantum Implication
    Leopoldo Roman
    Rita E. Zuazua
    International Journal of Theoretical Physics, 1999, 38 : 793 - 797
  • [39] On quantum implication
    Yousef Younes
    Ingo Schmitt
    Quantum Machine Intelligence, 2019, 1 : 53 - 63
  • [40] On quantum implication
    Younes, Yousef
    Schmitt, Ingo
    QUANTUM MACHINE INTELLIGENCE, 2019, 1 (1-2) : 53 - 63
12345