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.
   • CommentAuthorzskoda
   • CommentTimeApr 16th 2024
   • PermaLink
   Author: zskoda
   Format: MarkdownItex* Louis H. Rowen, _Residue structures_, [arXiv:2403.09467](https://arxiv.org/pdf/2403.09467) Here and in some more references it is required that the result of hyperoperation is nonempty, that is the values are in the power set without the emptyset $\mathcal{P}(X)\backslash\{\emptyset\}$. I do not know what other contributors to the page think about it. It does not allow me to leave [[!include algebra - contents]] so I temporarily erased it. It says that it does not exist. <a href="https://ncatlab.org/nlab/revision/diff/hypermagma/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/hypermagma/4">v4</a>, <a href="https://ncatlab.org/nlab/show/hypermagma">current</a>

   • Louis H. Rowen, Residue structures, arXiv:2403.09467

   Here and in some more references it is required that the result of hyperoperation is nonempty, that is the values are in the power set without the emptyset $\mathcal{P}(X)\backslash\{\emptyset\}$. I do not know what other contributors to the page think about it.

   It does not allow me to leave !include algebra - contents so I temporarily erased it. It says that it does not exist.

   diff, v4, current

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeApr 16th 2024
   • (edited Apr 16th 2024)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexAdded the link to the related notion of [[multivalued group]] Maybe [[hypergroup]] should be created as this entry somehow conflates the two. <a href="https://ncatlab.org/nlab/revision/diff/hypermagma/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/hypermagma/4">v4</a>, <a href="https://ncatlab.org/nlab/show/hypermagma">current</a>

   Added the link to the related notion of multivalued group

   Maybe hypergroup should be created as this entry somehow conflates the two.

   diff, v4, current

3. • CommentRowNumber3.
   • CommentAuthorzskoda
   • CommentTimeApr 16th 2024
   • PermaLink
   Author: zskoda
   Format: MarkdownItexWell, there is some mess there. The page redirects also [[hypergroup]] and [[canonical hypergroup]] and [[canonical hypergroup]] also recirects [[hypergroup]] with the abstract on the latter and the definition has word canonical (what is the difference ? in equality versus subset ?). The latter page also has no references. I will do some partial remedy to it, in particular move part of the page [[hypermagma]] into [[canonical hypergroup]] and change the later to [[hypergoup]].

   Well, there is some mess there. The page redirects also hypergroup and canonical hypergroup and canonical hypergroup also recirects hypergroup with the abstract on the latter and the definition has word canonical (what is the difference ? in equality versus subset ?). The latter page also has no references. I will do some partial remedy to it, in particular move part of the page hypermagma into canonical hypergroup and change the later to hypergoup.