Informace o publikaci
One-generated semirings and additive divisibility
| Autoři | |
|---|---|
| Rok publikování | 2017 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | JOURNAL OF ALGEBRA AND ITS APPLICATIONS |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://www.worldscientific.com/doi/abs/10.1142/S0219498817500384 |
| Doi | http://dx.doi.org/10.1142/S0219498817500384 |
| Klíčová slova | Commutative semiring; divisible semigroup; idempotent; numerical semigroup; embedding |
| Popis | We study the structure of one-generated semirings from the symbolical point of view and their connections to numerical semigroups. We prove that such a semiring is additively divisible if and only if it is additively idempotent. We also show that every at most countable commutative semigroup is contained in the additive part of some one-generated semiring. |
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