M V -test spaces versus M V -algebras

Antonio Di Nola; Anatolij Dvurečenskij

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 1, page 189-203
  • ISSN: 0011-4642

Abstract

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In analogy with effect algebras, we introduce the test spaces and M V -test spaces. A test corresponds to a hypothesis on the propositional system, or, equivalently, to a partition of unity. We show that there is a close correspondence between M V -algebras and M V -test spaces.

How to cite

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Nola, Antonio Di, and Dvurečenskij, Anatolij. "$MV$-test spaces versus $MV$-algebras." Czechoslovak Mathematical Journal 54.1 (2004): 189-203. <http://eudml.org/doc/30849>.

@article{Nola2004,
abstract = {In analogy with effect algebras, we introduce the test spaces and $MV$-test spaces. A test corresponds to a hypothesis on the propositional system, or, equivalently, to a partition of unity. We show that there is a close correspondence between $MV$-algebras and $MV$-test spaces.},
author = {Nola, Antonio Di, Dvurečenskij, Anatolij},
journal = {Czechoslovak Mathematical Journal},
keywords = {algebra; effect algebra; $MV$-algebra; test space; $MV$-test space; state; weight; effect algebra; MV-algebra; MV-test space; state; weight},
language = {eng},
number = {1},
pages = {189-203},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$MV$-test spaces versus $MV$-algebras},
url = {http://eudml.org/doc/30849},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Nola, Antonio Di
AU - Dvurečenskij, Anatolij
TI - $MV$-test spaces versus $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 1
SP - 189
EP - 203
AB - In analogy with effect algebras, we introduce the test spaces and $MV$-test spaces. A test corresponds to a hypothesis on the propositional system, or, equivalently, to a partition of unity. We show that there is a close correspondence between $MV$-algebras and $MV$-test spaces.
LA - eng
KW - algebra; effect algebra; $MV$-algebra; test space; $MV$-test space; state; weight; effect algebra; MV-algebra; MV-test space; state; weight
UR - http://eudml.org/doc/30849
ER -

References

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