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.
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页码：1 / 19
页数：18
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