TL;DR
This paper introduces comodule Hom-coalgebras, a new algebraic structure, and demonstrates how they can be derived from existing comodule coalgebras through endomorphisms, expanding the framework of coalgebra theory.
Contribution
The paper defines comodule Hom-coalgebras and shows their construction from comodule coalgebras via endomorphisms, providing a novel approach in coalgebra deformation theory.
Findings
Comodule Hom-coalgebras can be obtained by deforming comodule coalgebras.
Endomorphisms play a key role in the deformation process.
The new structure generalizes classical comodule coalgebras.
Abstract
We introduce the concept of comodule Hom-coalgebras and show that comodule Hom-coalgebras can be deformed from comodule coalgebras via endomorphisms.
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