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On separability properties in direct products of semigroups
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dc.contributor.author | O'Reilly, Gerard Aidan | |
dc.contributor.author | Quick, Martyn | |
dc.contributor.author | Ruskuc, Nik | |
dc.date.accessioned | 2021-05-28T14:30:13Z | |
dc.date.available | 2021-05-28T14:30:13Z | |
dc.date.issued | 2021-05-27 | |
dc.identifier | 274172445 | |
dc.identifier | 8130455d-3ac6-47ad-a7ab-1955361fa936 | |
dc.identifier | 85106687824 | |
dc.identifier | 000655421000003 | |
dc.identifier.citation | O'Reilly , G A , Quick , M & Ruskuc , N 2021 , ' On separability properties in direct products of semigroups ' , Monatshefte für Mathematik , vol. 197 , no. 2 , pp. 333-352 . https://doi.org/10.1007/s00605-021-01570-4 | en |
dc.identifier.issn | 0026-9255 | |
dc.identifier.other | ORCID: /0000-0002-5227-2994/work/94669106 | |
dc.identifier.other | ORCID: /0000-0003-2415-9334/work/94669433 | |
dc.identifier.uri | https://hdl.handle.net/10023/23269 | |
dc.description.abstract | We investigate four finiteness conditions related to residual finiteness: complete separability, strong subsemigroup separability, weak subsemigroup separability and monogenic subsemigroup separability. For each of these properties we examine under which conditions the property is preserved under direct products. We also consider if any of the properties are inherited by the factors in a direct product. We give necessary and sufficient conditions for finite semigroups to preserve the properties of strong subsemigroup separability and monogenic subsemigroup separability in a direct product. | |
dc.format.extent | 21 | |
dc.format.extent | 366735 | |
dc.language.iso | eng | |
dc.relation.ispartof | Monatshefte für Mathematik | en |
dc.subject | Separability | en |
dc.subject | Residual properties | en |
dc.subject | Subsemigroup separability | en |
dc.subject | Residual finiteness | en |
dc.subject | Complete separability | en |
dc.subject | Semigroups | en |
dc.subject | Direct products | en |
dc.subject | Congruences | en |
dc.subject | Finite index congruence | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | On separability properties in direct products of semigroups | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1007/s00605-021-01570-4 | |
dc.description.status | Peer reviewed | en |
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