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
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
  • [21] States on implication basic algebras
    Nejad, S. M. Ghasemi
    Borzooei, R. A.
    Bakhshi, M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2020, 17 (06): : 139 - 156
  • [22] Soft Lattice Implication Algebras
    Liu, Yi
    Qin, Ya
    Qin, Xiaoyan
    Xu, Yang
    APPLIED INFORMATICS AND COMMUNICATION, PT 4, 2011, 227 : 128 - +
  • [23] Soft lattice implication algebras
    Peng Jiayin
    2010 THE 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND INDUSTRIAL APPLICATION (PACIIA2010), VOL IV, 2010, : 228 - 231
  • [24] Free Lukasiewicz implication algebras
    Diaz Varela, Jose Patricio
    ARCHIVE FOR MATHEMATICAL LOGIC, 2008, 47 (01) : 25 - 33
  • [25] TOLERANCES AND CONGRUENCES ON IMPLICATION ALGEBRAS
    CHAJDA, I
    ZELINKA, B
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 1988, 38 (02) : 207 - 217
  • [26] Implication BL-algebras
    Saeid, A. Borumand
    Mohtashamnia, N.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (03) : 1371 - 1381
  • [27] Implication in MV-algebras
    I. Chajda
    R. Halaš
    J. Kühr
    algebra universalis, 2005, 52 : 377 - 382
  • [28] On derivations of lattice implication algebras
    Lee, Sang Deok
    Kim, Kyung Ho
    ARS COMBINATORIA, 2013, 108 : 279 - 288
  • [29] Free Łukasiewicz implication algebras
    José Patricio Díaz Varela
    Archive for Mathematical Logic, 2008, 47 : 25 - 33
  • [30] FINITE LATTICE IMPLICATION ALGEBRAS
    Borzooei, R. A.
    Hosseiny, S. F.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 6 (04): : 265 - 283