English

Incidence Coalgebras: Automorphisms and Derivations

Rings and Algebras 2023-12-12 v1

Abstract

We describe automorphisms and derivations of the incidence coalgebra Co(X,F)\text{Co}(X,F) of the partially ordered set XX over a field FF. In this case, the fact is significantly used that the dual algebra of the coalgebra Co(X,F)\text{Co}(X,F) is isomorphic to the incidence algebra I(X,F)I(X,F) of the partially ordered set XX over the field FF.

Keywords

Cite

@article{arxiv.2312.05504,
  title  = {Incidence Coalgebras: Automorphisms and Derivations},
  author = {Piotr Krylov and Askar Tuganbaev},
  journal= {arXiv preprint arXiv:2312.05504},
  year   = {2023}
}
R2 v1 2026-06-28T13:45:47.139Z