Semifields and a theorem of Abhyankar

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369240" target="_blank" >RIV/00216208:11320/17:10369240 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.14712/1213-7243.2015.216" target="_blank" >http://dx.doi.org/10.14712/1213-7243.2015.216</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14712/1213-7243.2015.216" target="_blank" >10.14712/1213-7243.2015.216</a>

Result language

angličtina

Original language name

Semifields and a theorem of Abhyankar

Original language description

Abhyankar proved that every field of finite transcendence degree over Q or over a finite field is a homomorphic image of a subring of the ring of polynomials Z[T-1,..., T-n] (for some n depending on the field). We conjecture that his result cannot be substantially strengthened and show that our conjecture implies a well-known conjecture on the additive idempotence of semifields that are finitely generated as semirings.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GJ17-04703Y" target="_blank" >GJ17-04703Y: Quadratic forms and numeration systems over number fields</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Commentationes Mathematicae Universitatis Carolinae

ISSN

0010-2628

e-ISSN

—

Volume of the periodical

58

Issue of the periodical within the volume

3

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

7

Pages from-to

267-273

UT code for WoS article

000417997500001

EID of the result in the Scopus database

2-s2.0-85030556568