English

The structure of weak coalgebra-Galois extensions

Quantum Algebra 2007-05-23 v1

Abstract

Weak coalgebra-Galois extensions are studied. A notion of an invertible weak entwining structure is introduced. It is proven that, within an invertible weak entwining structure, the surjectivity of the canonical map implies bijectivity provided the structure coalgebra C is either coseparable or projective as a C-comodule.

Keywords

Cite

@article{arxiv.math/0411230,
  title  = {The structure of weak coalgebra-Galois extensions},
  author = {Tomasz Brzezinski and Ryan B. Turner and Adam P. Wrightson},
  journal= {arXiv preprint arXiv:math/0411230},
  year   = {2007}
}

Comments

27 pages, LaTeX

R2 v1 2026-07-22T17:12:13.230Z