Files in this item
On the number of subsemigroups of direct products involving the free monogenic semigroup
Item metadata
dc.contributor.author | Clayton, Ashley | |
dc.contributor.author | Ruskuc, Nikola | |
dc.date.accessioned | 2019-07-31T23:41:45Z | |
dc.date.available | 2019-07-31T23:41:45Z | |
dc.date.issued | 2019-02-01 | |
dc.identifier.citation | Clayton , A & Ruskuc , N 2019 , ' On the number of subsemigroups of direct products involving the free monogenic semigroup ' , Journal of the Australian Mathematical Society , vol. First View . https://doi.org/10.1017/S1446788718000605 | en |
dc.identifier.issn | 1446-7887 | |
dc.identifier.other | PURE: 256432336 | |
dc.identifier.other | PURE UUID: baf58f2a-563b-4dc8-8a5b-322c86ebcc0b | |
dc.identifier.other | Scopus: 85061003671 | |
dc.identifier.other | ORCID: /0000-0003-2415-9334/work/73702042 | |
dc.identifier.other | WOS: 000545633100003 | |
dc.identifier.uri | https://hdl.handle.net/10023/18226 | |
dc.description.abstract | The direct product ℕ x ℕ of two free monogenic semigroups contains uncountably many pairwise nonisomorphic subdirect products. Furthermore, the following hold for ℕ x S, where S is a finite semigroup. It contains only countably manypairwise non-isomorphic subsemigroups if and only if S is a union of groups. And it contains only countably many pairwise nonisomorphic subdirect products if and only if every element of S has a relative left or right identity element. | |
dc.format.extent | 12 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of the Australian Mathematical Society | en |
dc.rights | © 2019 Australian Mathematical Publishing Association Inc. This work has been made available online in accordance with the publisher's policies. This is the author created accepted version manuscript following peer review and as such may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1017/S1446788718000605 | en |
dc.subject | Subdirect product | en |
dc.subject | Subsemigroup | en |
dc.subject | Free mongenic semigroup | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | On the number of subsemigroups of direct products involving the free monogenic semigroup | en |
dc.type | Journal article | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | https://doi.org/10.1017/S1446788718000605 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2019-08-01 |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.