8 citations · 23 across the 11 of their papers we have counts for
11 papers
Pseudo-Galois Extensions and Hopf Algebroids
Lars Kadison
A pseudo-Galois extension is shown to be a depth two extension. Studying its left bialgebroid, we construct an enveloping Hopf algebroid for the semi-direct product of groups, or m…
Centralizers and Inverses to Induction as Equivalence of Categories
Lars Kadison
Given a ring homomorphism , consider its centralizer , bimodule endomorphism ring $S = \End {}_BA_B$ and sub-tensor-square ring . Nonassociative…
The Endomorphism Ring Theorem for Galois and D2 extensions
Lars Kadison
Let be the left bialgebroid $\End {}_BA_B$ over the centralizer of a right D2 algebra extension , which is to say that its tensor-square is isomorphic as --bi…
Galois theory for bialgebroids, depth two and normal Hopf subalgebras
Lars Kadison
We reduce certain proofs in math.RA/0108067, math.RA/0408155, and math.QA/0409589 to depth two quasibases from one side only, a minimalistic approach which leads to a characterizat…
A note on Galois theory for bialgebroids
Lars Kadison
In this note we reduce certain proofs in \cite{KS, Karl, AMA} to depth two quasibases from one side only. This minimalistic approach leads to a characterization of Galois extension…
Normal Hopf subalgebras, depth two and Galois extensions
Lars Kadison
Let be the left -bialgebroid of a depth two extension with centralizer as defined in math.QA/0108067. We show that the left endomorphism ring of depth two extension, not…