title: |
Riesz MV-algebras and their logic |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 140 - 145 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Antonio Di, Ioana Leutean |
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publication date: |
July 2011 |
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keywords: |
RMV-algebra, MV-algebra, Riesz
space, Lukasiewicz logic. |
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abstract: |
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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |