<div class="csl-bib-body">
<div class="csl-entry">Gehrke, M., & Pinsker, M. (2018). Uniform Birkhoff. <i>Journal of Pure and Applied Algebra</i>, <i>222</i>(5), 1242–1250. https://doi.org/10.1016/j.jpaa.2017.06.016</div>
</div>
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dc.identifier.issn
0022-4049
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/144772
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dc.description.abstract
We show that pseudovarieties of finitely generated algebras, i.e., classes C of finitely generated algebras closed under finite products, homomorphic images, and subalgebras, can be described via a uniform structure UC on the free algebra for C : the members of C then are precisely those finitely generated algebras A for which the natural mapping from the free algebra onto the term clone of A is well-defined and uniformly continuous with respect to the uniformity UC and the uniformity of pointwise convergence on the term clone of A , respectively. Our result unifies earlier theorems describing pseudovarieties of finite algebras and the pseudovariety generated by a single oligomorphic algebra.
en
dc.language.iso
en
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dc.publisher
ELSEVIER
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dc.relation.ispartof
Journal of Pure and Applied Algebra
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dc.subject
Algebra and Number Theory
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dc.title
Uniform Birkhoff
en
dc.type
Artikel
de
dc.type
Article
en
dc.contributor.affiliation
CNRS, Université Côte d'Azur
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dc.description.startpage
1242
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dc.description.endpage
1250
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dc.type.category
Original Research Article
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tuw.container.volume
222
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tuw.container.issue
5
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true
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true
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International Co-publication
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X1
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tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
Journal of Pure and Applied Algebra
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tuw.publication.orgunit
E104-01 - Forschungsbereich Algebra
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tuw.publisher.doi
10.1016/j.jpaa.2017.06.016
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dc.identifier.eissn
1873-1376
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dc.description.numberOfPages
9
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tuw.author.orcid
0000-0002-3914-4541
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wb.sci
true
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Diskrete Mathematik und Geometrie
de
wb.facultyfocus
Discrete Mathematics and Geometry
en
wb.facultyfocus.faculty
E100
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item.languageiso639-1
en
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research article
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none
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no Fulltext
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Publications
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http://purl.org/coar/resource_type/c_2df8fbb1
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CNRS, Université Côte d'Azur
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E104-01 - Forschungsbereich Algebra
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0000-0002-3914-4541
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E104 - Institut für Diskrete Mathematik und Geometrie