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1. • CommentRowNumber1.
   • CommentAuthorTim_Porter
   • CommentTimeAug 9th 2011
   • (edited Aug 9th 2011)
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexI have stumbled across [[MV algebras]]. MV = multivalued as they are the multivalued counterparts of Boolean algebras corresponding to Luzasiewicz multivalued logics. They also have links with C*-algebras. (I will create a stub shortly.) Does anyone here know anything about them? They look interesting. (Stub created.)

   I have stumbled across MV algebras. MV = multivalued as they are the multivalued counterparts of Boolean algebras corresponding to Luzasiewicz multivalued logics. They also have links with C*-algebras. (I will create a stub shortly.) Does anyone here know anything about them? They look interesting. (Stub created.)

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeAug 9th 2011
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   Author: Todd_Trimble
   Format: MarkdownItexNo, this is my first acquaintance with them. Yes, they do look interesting! Looking over those notes you referred to, it seems that they give examples of non-Boolean $\ast$-autonomous posets. That together with the completeness theorem makes them interesting to me. Do they form a Mal'cev variety, I wonder?

   No, this is my first acquaintance with them. Yes, they do look interesting! Looking over those notes you referred to, it seems that they give examples of non-Boolean $\ast$-autonomous posets. That together with the completeness theorem makes them interesting to me.

   Do they form a Mal’cev variety, I wonder?

3. • CommentRowNumber3.
   • CommentAuthorTim_Porter
   • CommentTimeAug 9th 2011
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   Author: Tim_Porter
   Format: MarkdownItexIt was Phil Scott who mentioned them to me and I thought they looked as if they could be useful.

   It was Phil Scott who mentioned them to me and I thought they looked as if they could be useful.

4. • CommentRowNumber4.
   • CommentAuthorTodd_Trimble
   • CommentTimeAug 9th 2011
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   Author: Todd_Trimble
   Format: MarkdownItexI've just added a Properties section, listing a few that came to mind or that I read about. In particular, I answered my own question: they do form a Mal'cev variety.

   I’ve just added a Properties section, listing a few that came to mind or that I read about. In particular, I answered my own question: they do form a Mal’cev variety.

5. • CommentRowNumber5.
   • CommentAuthorTim_Porter
   • CommentTimeJul 4th 2015
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   Author: Tim_Porter
   Format: MarkdownItexPhil Scott has pointed out his preprint with Mark Lawson, so I have added a link at [[MV algebras]]

   Phil Scott has pointed out his preprint with Mark Lawson, so I have added a link at MV algebras