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

0329000 - ÚTIA 2010 RIV PT eng C - Conference Paper (international conference)
Kroupa, Tomáš - Gerla, B.
Representation of States on MV-algebras by Probabilities on R-generated Boolean Algebras.
[Reprezentace stavů na MV-algebrách pomocí pravděpodobností na R-generovaných Booleových algebrách.]
Proceedings of IFSA/EUSFLAT 2009. Lisabon: IFSA/EUSFLAT, 2009, s. 713-718. ISBN 978-989-95079-6-8.
[IFSA/EUSFLAT 2009. Lisabon (PT), 20.07.2009-24.07.2009]
R&D Projects: GA MŠMT 1M0572
Institutional research plan: CEZ:AV0Z10750506
Keywords : MV-algebra * R-generated Boolean algebra * state
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2009/MTR/kroupa-representation of states on mv-algebras by probabilities on r-generated boolean algebras.pdf

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).

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.
Permanent Link: http://hdl.handle.net/11104/0175159