English

The splitting problem for coalgebras: a direct approach

Rings and Algebras 2011-09-20 v1 Representation Theory

Abstract

In this note we give a different and direct short proof to a previous result of Nastasescu and Torrecillas in \cite{NT} stating that if the rational part of any right CC^* module MM is a direct sumand in MM then CC must be finite dimensional (the splitting problem for coalgebras).

Keywords

Cite

@article{arxiv.1109.3939,
  title  = {The splitting problem for coalgebras: a direct approach},
  author = {M. C. Iovanov},
  journal= {arXiv preprint arXiv:1109.3939},
  year   = {2011}
}

Comments

Original paper appeared in Appl. Cat. Struct. 14, no. 5-6 (2006), 599-604

R2 v1 2026-06-21T19:06:49.400Z