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On the number of subsemigroups of direct products involving the free monogenic semigroup
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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 | 256432336 | |
dc.identifier | baf58f2a-563b-4dc8-8a5b-322c86ebcc0b | |
dc.identifier | 85061003671 | |
dc.identifier | 000545633100003 | |
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 | ORCID: /0000-0003-2415-9334/work/73702042 | |
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.format.extent | 305821 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of the Australian Mathematical Society | 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.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 | 10.1017/S1446788718000605 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2019-08-01 |
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