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Residual finiteness and related properties in monounary algebras and their direct products
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dc.contributor.author | De Witt, Bill | |
dc.date.accessioned | 2021-04-27T12:30:16Z | |
dc.date.available | 2021-04-27T12:30:16Z | |
dc.date.issued | 2021-04-24 | |
dc.identifier | 273673160 | |
dc.identifier | f5c044b8-daa9-4d81-960d-dc28d734372a | |
dc.identifier | 85104896715 | |
dc.identifier | 000643253600003 | |
dc.identifier.citation | De Witt , B 2021 , ' Residual finiteness and related properties in monounary algebras and their direct products ' , Algebra Universalis , vol. 82 , 32 . https://doi.org/10.1007/s00012-021-00727-4 | en |
dc.identifier.issn | 0002-5240 | |
dc.identifier.uri | https://hdl.handle.net/10023/23091 | |
dc.description.abstract | In this paper we discuss the relationship between direct products of monounary algebras and their components, with respect to the properties of residual finiteness, strong/weak subalgebra separability, and complete separability. For each of these properties P, we give a criterion CP such that a monounary algebra A has property P if and only if it satisfies CP. We also show that for a direct product A×B of monounary algebras, A×B has property P if and only if one of the following is true: either both A and B have property P, or at least one of A or B are backwards-bounded, a special property which dominates direct products and which guarantees all P hold. | |
dc.format.extent | 22 | |
dc.format.extent | 513282 | |
dc.language.iso | eng | |
dc.relation.ispartof | Algebra Universalis | en |
dc.subject | Monounary algebra | en |
dc.subject | Residually finite | en |
dc.subject | Direct product | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | NIS | en |
dc.subject.lcc | QA | en |
dc.title | Residual finiteness and related properties in monounary algebras and their direct products | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1007/s00012-021-00727-4 | |
dc.description.status | Peer reviewed | en |
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