Boolean sets, skew Boolean algebras and a non-commutative Stone duality

被引：0
|
作者：
Ganna Kudryavtseva
Mark V. Lawson
机构：
[1] University of Ljubljana,Faculty of Computer and Information Science
[2] University of Ljubljana,Department of Mathematics and the Maxwell Institute for Mathematical Sciences
[3] Faculty of Civil and Geodetic Engineering,undefined
[4] Institute of Mathematics,undefined
[5] Physics and Mechanics,undefined
[6] Institute Jožef Stefan,undefined
[7] Heriot-Watt University,undefined
来源：
Algebra universalis | 2016年 / 75卷
关键词：
skew Boolean algebra; Boolean algebra; Boolean space; Stone duality; étalé space; presheaf of sets; right normal band; Primary 06E75; Secondary 06E15; 18B30; 18F20; 54B40; 20M99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We describe right-hand skew Boolean algebras in terms of a class of presheaves of sets over Boolean algebras called Boolean sets, and prove a duality theorem between Boolean sets and étalé spaces over Boolean spaces.
引用
收藏
页码：1 / 19
页数：18
相关论文
共 50 条
  • [11] SKEW BOOLEAN-ALGEBRAS
    LEECH, J
    ALGEBRA UNIVERSALIS, 1990, 27 (04) : 497 - 506
  • [12] NON-COMMUTATIVE EFFECT ALGEBRAS, L-ALGEBRAS,AND LOCAL DUALITY
    Rump, Wolfgang
    MATHEMATICA SLOVACA, 2024, 74 (02) : 451 - 468
  • [13] VARIETIES OF SKEW BOOLEAN ALGEBRAS WITH INTERSECTIONS
    Leech, Jonathan
    Spinks, Matthew
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 102 (02) : 290 - 306
  • [14] A DUALITY FOR BOOLEAN-ALGEBRAS WITH OPERATORS
    HANSOUL, G
    ALGEBRA UNIVERSALIS, 1983, 17 (01) : 34 - 49
  • [15] A non-commutative Priestley duality
    Bauer, Andrej
    Cvetko-Vah, Karin
    Gehrke, Mai
    van Gool, Samuel J.
    Kudryavtseva, Ganna
    TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (12) : 1423 - 1438
  • [16] STONE SPACE OF SATURATED BOOLEAN ALGEBRAS
    NEGREPONTIS, S
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 141 (JUL) : 515 - +
  • [17] Stone spaces of some Boolean algebras
    Golovastov, R. A.
    IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2015, (01): : 3 - 36
  • [18] General non-commutative locally compact locally Hausdorff Stone duality
    Bice, Tristan
    Starling, Charles
    ADVANCES IN MATHEMATICS, 2019, 341 : 40 - 91
  • [19] SKEW BOOLEAN-ALGEBRAS AND DISCRIMINATOR VARIETIES
    BIGNALL, RJ
    LEECH, JE
    ALGEBRA UNIVERSALIS, 1995, 33 (03) : 387 - 398
  • [20] Some Results on Fuzzy Weak Boolean Filters of Non-commutative Residuated Lattice
    Wang, Wei
    Xu, Yang
    Tong, Dan
    Cheng, Xiao-yan
    Li, Yong-fei
    PROCEEDINGS OF INTERNATIONAL CONFERENCE ON SOFT COMPUTING TECHNIQUES AND ENGINEERING APPLICATION, ICSCTEA 2013, 2014, 250 : 97 - 103
12345