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Extending Stone duality to multisets and locally finite MV-algebras

Authors :
Daniele Mundici
Roberto Cignoli
Eduardo J. Dubuc
Source :
Journal of Pure and Applied Algebra. 189(1-3):37-59
Publication Year :
2004
Publisher :
Elsevier BV, 2004.

Abstract

Stone duality between boolean algebras and inverse limits of finite sets is extended to a duality between locally finite MV-algebras and a category of multisets naturally arising as inverse limits of finite multisets.

Details

ISSN :
00224049
Volume :
189
Issue :
1-3
Database :
OpenAIRE
Journal :
Journal of Pure and Applied Algebra
Accession number :
edsair.doi.dedup.....aa10f51ac857d9debc5d16c8f0a5d7ab
Full Text :
https://doi.org/10.1016/j.jpaa.2003.10.021