Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

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
   • PermaLink
   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
   • PermaLink
   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
   • PermaLink
   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
   • PermaLink
   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