Results 41 to 50 of about 140 (94)

Extensões galoisianas comutativas [PDF]

open access: yes, 2021
Neste trabalho estendemos a teoria de Galois desenvolvida sobre corpos para extensões de anéis comutativos. Os principais resultados são relacionados a separabilidade de extensões de anéis comutativos, bem como a definição das estruturas e objetos ...
Beier, Gustav Eckard Gorniski
core   +1 more source

The Field of Norms Functor and the Hilbert Symbol [PDF]

open access: yes, 2010
The classical Hilbert symbol of a higher local field $F$ containing a primitive $p^M$-th root of unity $\zeta_M$ is a pairing $F^*/(F^*)^{p^M}\times K_N(F)/p^M \to \mu_{p^M}$, describing Kummer extensions of exponent $p^M$.
JENNI, RUTH,CHRISTINE   +1 more
core  

Inseparable Galois theory of exponent one

open access: yes, 1970
An exponent one inseparable Galois theory for commutative ring extensions of prime characteristic p ≠ 0 p \ne 0 is given in this paper.
Shuen Yuan
core   +1 more source

Non-linear group actions with polynomial invariant rings and a structure theorem for modular Galois extensions

open access: yes, 2011
Let G be a finite p-group and k be a field of characteristic p>0. We show that G has a non-linear faithful action on a polynomial ring U of dimension n=log p(|G|) such that the invariant ring UG is also polynomial.
Woodcock, Chris F.   +3 more
core   +1 more source

Algebraic K-theory of strict ring spectra [PDF]

open access: yes, 2014
We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated by its applications to the automorphism groups of compact manifolds.
Rognes, John
core   +1 more source

Sur Le Groupe Des Extensions Cycliques

open access: yes, 2015
In this paper we give an explicit and elementary construction of the group of all cyclic extensions of prime degree of a given ring. We give explicit calculations in some particular cases. In the second part, under certains hypotheses concerning the base
Paques A., Micali A.
core   +1 more source

Algebraic K-theory of strict ring spectra [PDF]

open access: yes, 2010
We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated by its applications to the automorphism groups of compact manifolds.
John Rognes
core  

Partial actions and galois theory

open access: yes, 2018
El presente trabajo de grado expone la teoría de Galois de anillos conmutativos y la teoría de Galois parcial de anillos conmutativos, las cuales son generalizaciones de la teoría de Galois sobre cuerpos.
Cañas Perez, Andres Sebastian
core  

A Quillen model for classical Morita theory and a tensor categorification of the Brauer group

open access: yes, 2014
Let KK be a commutative ring. In this article we construct a well-behaved symmetric monoidal Quillen model structure on the category of small KK-categories which enhances classical Morita theory.
Dell'Ambrogio, Ivo   +2 more
core   +1 more source

Mixed Characteristic Cyclic Matters

open access: yes, 2022
The Artin-Schreier polynomial $Z^p - Z - a$ is very well known. Polynomials of this type describe all degree $p$ (cyclic) Galois extensions over any commutative ring of characteristic $p$. Equally attractive is the associated Galois action.
Saltman, David J.
core  

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