Representation of States on MV-algebras by Probabilities on R-generated Boolean Algebras

Conference Paper (international conference)

Kroupa Tomáš, Gerla B.

serial: Proceedings of IFSA/EUSFLAT 2009

action: IFSA/EUSFLAT 2009, (Lisabon, PT, 20.07.2009-24.07.2009)

research: CEZ:AV0Z10750506

project(s): 1M0572GA MŠk

keywords: MV-algebra, R-generated Boolean algebra, state

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abstract (eng):

Any MV-algebra M can be embedded as a lattice in the Boolean algebra B(M) that is R-generated by M. We relate the study of states on an MV-algebra M to the study of finitely additive probabilities on B(M).

abstract (cze):

Každou MV-algebru lze (jako svaz) vnořit do R-generované Booleovy algebry. Studium stavů na M lze potom usnadnit pomocí jejich reprezentace jako pravděpodobností na R-generované algebře.

RIV: BA