Notes on additively divisible commutative semirings
| Autor: | Kepka, Tomáš, Korbelář, Miroslav |
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| Rok vydání: | 2014 |
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| Druh dokumentu: | Working Paper |
| Popis: | Commutative semirings with divisible additive semigroup are studied. We show that an additively divisible commutative semiring is idempotent, provided that it is finitely generated and torsion. In case that a one-generated additively divisible semiring posseses no unit, it must contain an ideal of idempotent elements. We also present a series of open questions about finitely generated commutative semirings and their equivalent versions. Comment: 8 pages |
| Databáze: | arXiv |
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