## 99 Citations

Title: Root selection and 2p-th root selections in hyperfields Author: Paweł Gładki Citation style: Gładki Paweł. (2019). Root selection and 2p-th root selections

- Mathematics
- 2019

In this paper we define root selections and 2-th root selections for hyperfields: these are multiplicative subgroups whose existence is equivalent to the existence of a well behaved square root…

Root Selections and 2p-th Root Selections in Hyperfields

- MathematicsDiscussiones Mathematicae - General Algebra and Applications
- 2019

Abstract In this paper we define root selections and 2p-th root selections for hyperfields: these are multiplicative subgroups whose existence is equivalent to the existence of a well behaved square…

Hyperfield extensions, characteristic one and the Connes-Consani plane connection

- Mathematics
- 2014

Inspired by a recent paper of Alain Connes and Catherina Consani which connects the geometric theory surrounding the elusive field with one element to sharply transitive group actions on finite and…

Real closures of commutative rings. II.

- Mathematics
- 1976

This is the second and final part of a paper [11] dedicated to Helmut Hasse on his 75 birthday. The emphasis will be on local studies, and the central result is the main theorem 10. 12 at the end of…

A note on Galois groups of algebraic closures

- MathematicsJournal of the Australian Mathematical Society
- 1976

A group will be called full if it is the Galois group of an algebraic closure of a field. In this paper we first investigate full Abelian groups and classify them. Then we examine full groups from…

Galois module structure of the units modulo $$p^m$$ of cyclic extensions of degree $$p^n$$

- Mathematicsmanuscripta mathematica
- 2022

Let p be prime, and n,m ∈ N. When K/F is a cyclic extension of degree p, we determine the Z/pZ[Gal(K/F )]-module structure of K/K m . With at most one exception, each indecomposable summand is cyclic…

Lorenzen and Constructive Mathematics

- MathematicsPaul Lorenzen -- Mathematician and Logician
- 2021

A short survey of some of Lorenzen’s contributions to constructive mathematics, and its influence on recent developments in mathematical logic and constructive algebra.

Algebraic subgroups of the plane Cremona group over a perfect field

- MathematicsÉpijournal de Géométrie Algébrique
- 2021

We show that any infinite algebraic subgroup of the plane Cremona group over
a perfect field is contained in a maximal algebraic subgroup of the plane
Cremona group. We classify the maximal groups,…

Artin-Schreier binomials

- MathematicsCommunications in Algebra
- 2020

Abstract We consider polynomials of the form over F, a field of characteristic p > 0, where is the Artin-Schreier operator given by We call such a polynomial an Artin-Schreier binomial. Among other…

General quantum theory—unification of classical and modal quantum theories

- Philosophy, PhysicsJournal of Physics A: Mathematical and Theoretical
- 2020

Inspired by classical (‘actual’) quantum theory over C and modal quantum theory (MQT), which is a model of quantum theory over certain finite fields, we introduce general quantum theory as a quantum…