This expository paper presents a short review of categorical Galois theory, with special
attention to the connection with AR Magid's Galois theory of commutative rings and most …

Phi -Gamma -Modules for Families of Galois Representations Page 1 Ž . Journal of Algebra
235, 636664 2001 doi:10.1006rjabr.1999.8272, available online at http:rrwww.idealibrary.com …

Auslander und, Goldman begriindeten 1960 die Galois-Theorie von kommutativen Ringen
beziiglich einer endlichen Automorphismengruppe, und diese Theorie wurde sehr bald …

In these notes we present a generalization of the fundamental theorem of Galois theory for
commutative rings, in which, roughly speaking, the finite group of automorphisms in the …

270 CHINBURG, EREZ, PAPPAS, AND TAYLOR 6. d. Finite commutative groups 293 6. e.
Schemes over homogeneous spaces 293 6. f. Proof of Theorem 6.4 294 7. Extensions and …

Let H be a co-Frobenius Hopf π-coalgebra over a field k, and A a π-H-comodule algebra.
We study the notions of a relative π-(H, A)-Hopf module and a smash product A⊟ H⋇. We …

The main problem of Galois theory is to find out whether or not each finite group occurs as a
Galois group over the field ℚ of rational numbers. The solution of this one hundred years old …

Let C be a coalgebra over an arbitrary field K. We show that the study of the category C-
Comod of left C-comodules reduces to the study of the category of (co) representations of a …

Crane and Yetter (Deformations of (bi) tensor categories, Cahier de Topologie et Géometrie
Differentielle Catégorique, 1998) introduced a deformation theory for monoidal categories …

Galois theory of non-commutative rings was first developed by K. Shoda [25] as a
generalization and refinement of the R. Brauer-E. Noether theory of commutants, or (to …