Publication details
One-generated semirings and additive divisibility
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | JOURNAL OF ALGEBRA AND ITS APPLICATIONS |
| MU Faculty or unit | |
| Citation | |
| Web | https://www.worldscientific.com/doi/abs/10.1142/S0219498817500384 |
| Doi | http://dx.doi.org/10.1142/S0219498817500384 |
| Keywords | Commutative semiring; divisible semigroup; idempotent; numerical semigroup; embedding |
| Description | 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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