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 complex complex-geometry computable-mathematics computer-science constructive cosmology definitions 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 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).

nLab > Latest Changes: algebra

Bottom of Page

1 to 9 of 9

  1.  
    • 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

1 to 9 of 9

  1.