Pre-torsors and equivalences
量子代数
2012-01-27 v4 环与代数
摘要
Properties of (most general) non-commutative torsors or A-B torsors are analysed. Starting with pre-torsors it is shown that they are equivalent to a certain class of Galois extensions of algebras by corings. It is shown that a class of faithfully flat pre-torsors induces equivalences between categories of comodules of associated corings. It is then proven that A-B torsors correspond to monoidal functors (and, under some additional conditions, equivalences) between categories of comodules of bialgebroids.
引用
@article{arxiv.math/0607529,
title = {Pre-torsors and equivalences},
author = {Gabriella Böhm and Tomasz Brzezinski},
journal= {arXiv preprint arXiv:math/0607529},
year = {2012}
}
备注
34 pages, LaTeX file v2: Def 5.1 corrected v3: Examples added in Sec 3 and minor changes in the layout v4: Corrections in Lemmata 2.2 and 3.7