Riesz MV-algebras and their logic
Antonio Di Nola, Ioana Leustean
Antonio Di Nola
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.125How to use a DOI?
- RMV-algebra, MV-algebra, Riesz space, Lukasiewicz logic.
- We develop the general theory of RMV-algebras, which are essentially unit intervals in Riesz spaces with strong unit. Since the variety of RMV-algebras is generated by [0, 1], we get an equational characterization of the real product on [0,1] interpreted as scalar multiplication.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Antonio Di Nola AU - Ioana Leustean PY - 2011/08 DA - 2011/08 TI - Riesz MV-algebras and their logic BT - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11) PB - Atlantis Press SP - 140 EP - 145 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2011.125 DO - https://doi.org/10.2991/eusflat.2011.125 ID - DiNola2011/08 ER -