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.
Extending Stone duality to multisets and locally finite MV-algebras / D. MUNDICI; R. CIGNOLI; E. DUBUC. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 189:(2004), pp. 37-59. [10.1016/j.jpaa.2003.10.021]
Extending Stone duality to multisets and locally finite MV-algebras
MUNDICI, DANIELE;
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.
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