Results 51 to 60 of about 140 (94)

Homotopical Morita theory for corings

open access: yes, 2018
A coring (A,C) consists of an algebra A in a symmetric monoidal category and a coalgebra C in the monoidal category of A-bimodules. Corings and their comodules arise naturally in the study of Hopf-Galois extensions and descent theory, as well as in the ...
Hess, Kathryn, Berglund, Alexander,
core   +1 more source

Class Notes for Math 901/902: Abstract Algebra, Instructor Tom Marley [PDF]

open access: yes, 2010
Topics include: Free groups and presentations; Automorphism groups; Semidirect products; Classification of groups of small order; Normal series: composition, derived, and solvable series; Algebraic field extensions, splitting fields, algebraic closures ...
Lynch, Laura
core  

Kummer theory over the geometric adeles of an algebraic curve

open access: yes, 2023
Our goal is to give a purely algebraic characterization of finite abelian Galois covers of a complete, irreducible, non-singular curve $X$ over an algebraically closed field $\k$. To achieve this, we make use of the Galois theory of commutative rings, in
Vicente, Luis Manuel Navas   +2 more
core  

Homotopic Hopf-Galois extensions revisited

open access: yes
In this article we revisit the theory of homotopic Hopf-Galois extensions introduced in arXiv:0902.3393v2 [math.AT], in light of the homotopical Morita theory of comodules established in arXiv:1411.6517 [math.AT].
Hess, Kathryn, Berglund, Alexander,
core  

Congruence modules in higher codimension and zeta lines in Galois cohomology. [PDF]

open access: yesProc Natl Acad Sci U S A
Iyengar SB   +3 more
europepmc   +1 more source

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