| dc.contributor.author | Adeniran, Ayomikun | |
| dc.contributor.author | Butler, Steve | |
| dc.contributor.author | Defant, Colin | |
| dc.contributor.author | Gao, Yibo | |
| dc.contributor.author | Harris, Pamela E | |
| dc.contributor.author | Hettle, Cyrus | |
| dc.contributor.author | Liang, Qingzhong | |
| dc.contributor.author | Nam, Hayan | |
| dc.contributor.author | Volk, Adam | |
| dc.date.accessioned | 2021-09-20T17:17:20Z | |
| dc.date.available | 2021-09-20T17:17:20Z | |
| dc.date.issued | 2019-01-03 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/131499 | |
| dc.description.abstract | Abstract
We find a relation between the genus of a quotient of a numerical semigroup S and the genus of S itself. We use this identity to compute the genus of a quotient of S when S has embedding dimension 2. We also exhibit identities relating the Frobenius numbers and the genus of quotients of numerical semigroups that are generated by certain types of arithmetic progressions. | en_US |
| dc.publisher | Springer US | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00233-018-9989-3 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer US | en_US |
| dc.title | On the genus of a quotient of a numerical semigroup | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2020-09-24T21:22:21Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer Science+Business Media, LLC, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-09-24T21:22:21Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
