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 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 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

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.
    • CommentAuthorKeith Harbaugh
    • CommentTimeAug 4th 2019

    Added link to Bourn’s most helpful 2017 textbook From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories. Revised reference to the Borceux-Bourn 2004 monograph.

    diff, v8, current

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeFeb 6th 2021

    Cross-linked.

    diff, v10, current

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMar 11th 2021

    Renamed.

    diff, v12, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMar 12th 2021

    Incidentally, our entry histories (here) do not seem to record previous entry names.

    Here I suppose you changed the title “Mal’cev” to “Malcev”?

    But maybe give us a hint for why you did that. We might learn something. Earlier authors of this entry seemed to feel it’s important to spell it “Mal’cev”?

    (I have no idea about this.)

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMar 12th 2021
    • (edited Mar 12th 2021)
    Malcev himself used two spellings in his papers: Мальцев in his Russian papers and Malcev in his non-Russian papers.

    Hence, the renaming was performed to enable finding his papers using search engines and databases (especially those that get confused by apostrophes).
    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2021

    added pointer (here) to where Borceux& Bourn prove that GrpGrp is a Malcev category.

    diff, v14, current

    • CommentRowNumber7.
    • CommentAuthorBryceClarke
    • CommentTimeOct 18th 2023

    Added the theorem that the category of internal categories in a Mal’cev category is a Mal’cev category due to Gran:

    diff, v16, current