Notes to my Cat——Categorical Algebra

Normal Distribution as Orbit of Standard Normal Distribution under Affine Group Action

Characteristic of Ring as a functor

Equalizer in Cat of Grup and On(F)

What is Span? Why should we give up the traditional definition?

Rank-nullity Theorem: From Some basic homological algebra and first isomorphism theorem

Category of G-Set and Category of R-Module: A Uniform Approach via Category Theory

Categorical Perspective on Kernels, Rings, and Rngs: Exploring Zero Objects and Adjunctions

Monomorphisms, Injectivity, and the Free-Forgetful Adjunction in Concrete Category over Set

A functor from Mon to Cats, and degree of fields extension as a functor.

The Universal Property of Quotient Groups Through Coequalizers and Categorical Definition of Normal Closures

The Commutator Functor from R -Algebras to Lie Algebras

Grothendieck Group of Category of finite dim space

Proving R[X]/I[X] ≅ (R/I)[X] via Adjoint Functors

Beautiful Rectangles and Their Partitions: Approach via tensor product

(Co)Group Objects and Their Representable Group-Valued Presheaf Equivalence in Category Theory