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

Ganna Kudryavtseva; Mark Lawson

doi:10.1007/s00012-015-0361-0

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

Ganna Kudryavtseva
, Mark Lawson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

176 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Algebra Universalis
Volume	75
Issue number	1
Early online date	7 Dec 2015
DOIs	https://doi.org/10.1007/s00012-015-0361-0
Publication status	Published - Feb 2016

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1007/s00012-015-0361-0

Download pdfAccepted author manuscript, 351 KBLicence: All Rights Reserved

Cite this

@article{e9e71b5936954be8bd9750d86cdf90d0,

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

abstract = "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 {\'e}tal{\'e} spaces over Boolean spaces.",

author = "Ganna Kudryavtseva and Mark Lawson",

note = "{"}The first author was partially supported by ARRS grant P1-0288, and the second by EPSRC grant EP/I033203/1.{"}",

year = "2016",

month = feb,

doi = "10.1007/s00012-015-0361-0",

language = "English",

volume = "75",

pages = "1--19",

journal = "Algebra Universalis",

issn = "0002-5240",

publisher = "Birkh{\"a}user",

number = "1",

}

TY - JOUR

T1 - Boolean sets, skew Boolean algebras and a non-commutative Stone duality

AU - Kudryavtseva, Ganna

AU - Lawson, Mark

N1 - "The first author was partially supported by ARRS grant P1-0288, and the second by EPSRC grant EP/I033203/1."

PY - 2016/2

Y1 - 2016/2

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84955701958

U2 - 10.1007/s00012-015-0361-0

DO - 10.1007/s00012-015-0361-0

M3 - Article

SN - 0002-5240

VL - 75

SP - 1

EP - 19

JO - Algebra Universalis

JF - Algebra Universalis

IS - 1

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this