Idempotence of finitely generated commutative semifields

Kód výsledku v 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>
Nalezeny alternativní kódy
RIV/68407700:21230/18:00324869
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Idempotence of finitely generated commutative semifields
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Idempotence of finitely generated commutative semifields
Popis výsledku anglicky
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.

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2018
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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