New posts in Coalgebras

A monic coalgebra morphism whose underlying $\text{Set}$ morphism is not injective

Exercises to help a student become accustomed to Sweedler notation

Meaning of the antipode in Hopf algebras?

Are there always nontrivial primitive elements in a Hopf algebra?

Definition of subcoalgebra over a commutative ring

Monoidal structures on modules over derived coalgebras

A diagram for understanding action/coaction compatibility in a Yetter-Drinfeld module

Is there an explicit construction of a free coalgebra?