| Autor: |
Kala, Vítězslav, Korbelář, Miroslav |
| Předmět: |
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| Zdroj: |
Forum Mathematicum; Nov2018, Vol. 30 Issue 6, p1461-1474, 14p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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