Idempotence of finitely generated commutative semifields

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10383601" target="_blank" >RIV/00216208:11320/18:10383601 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21230/18:00324869

Result on the web

<a href="https://doi.org/10.1515/forum-2017-0098" target="_blank" >https://doi.org/10.1515/forum-2017-0098</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/forum-2017-0098" target="_blank" >10.1515/forum-2017-0098</a>

Result language

angličtina

Original language name

Idempotence of finitely generated commutative semifields

Original language description

We prove that a commutative parasemifield S is additively idempotent, provided that it is finitely generated as a semiring. Consequently, every proper commutative semifield T that is finitely generated as a semiring is either additively constant or additively idempotent. As part of the proof, we use the classification of finitely generated lattice-ordered groups to prove that a certain monoid associated to the parasemifield S has a distinguished geometrical property called prismality.

Czech name

—

Czech description

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Type

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

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

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

Name of the periodical

Forum Mathematicum

ISSN

0933-7741

e-ISSN

—

Volume of the periodical

30

Issue of the periodical within the volume

6

Country of publishing house

DE - GERMANY

Number of pages

14

Pages from-to

1461-1474

UT code for WoS article

000448688700008

EID of the result in the Scopus database

2-s2.0-85050095736