Not signed in (Sign In)

Not signed in

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

  • Sign in using OpenID

Site Tag Cloud

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 comma 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 finite 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 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 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

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2010
    • (edited May 6th 2010)

    the topic-cluster “algebra” is stiil a little orphaned on the Lab, I find. I added a bit to

    but these entries are still a bit pitiful. Maybe somebody feels challenged to turn them into good entries. Especially the latter.

    Should we have pages algebra over a Lawvere theory, algebra over a PROP, etc? Some entries look like they want such links (for instance algebra itself).

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 6th 2010
    • (edited May 6th 2010)
    I've added more to algebra over an operad. Most or all of these are examples of algebras over a monad of course, so overall it's just a matter of defining them as such and making sure that the monad in question is understood from whatever page.

    Edit: I'm generally not fond of the practice of defining a concept as a special case of a more complicated concept, as for example an algebra over an operad defined as a one-object category over an operad. Or, at least make such definitions secondary.
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2010

    Edit: I’m generally not fond of the practice of defining a concept as a special case of a more complicated concept, as for example an algebra over an operad defined as a one-object category over an operad. Or, at least make such definitions secondary.

    Exactly, I am not a fan of that either. That’s why I am saying: these entries need sombody to take care of them. I think the previous one was written in a haste and therefore just pointed to “category over an operad”.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2010

    Thanks for your additions. Todd! I added a brief “Idea”-sentence. Maybe that needs improvement, though… :-)

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 6th 2010
    I tweaked the Idea-sentence a little.
    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2010

    I tweaked the Idea-sentence a little.

    Very good, thanks.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2022

    added pointer to:

    diff, v39, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2022

    added pointer to:

    diff, v39, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeFeb 7th 2023

    added pointer to:

    diff, v42, current