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dc.contributor.authorFiore, Marcelo
dc.date.accessioned2018-11-21T00:30:16Z
dc.date.available2018-11-21T00:30:16Z
dc.date.issued2017-06-01
dc.identifier.issn1875-158X
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/285498
dc.description.abstractWe consider discrete enriched abstract clones and provide two constructions investigating their representation as discrete enriched clones of operations on objects in concrete enriched cate- gories over the enriching category. Our first construction embeds a discrete enriched abstract clone into the concrete discrete enriched clone of operations on an object in the enriching cate- gory. Our second construction refines the given embedding by introducing a monoid action and restricting attention to the concrete discrete enriched clone of its equivariant operations. As in the classical theory of abstract clones, our main focus is on discrete enriched abstract clones with finite arities. However, we also consider discrete enriched abstract clones with countable arities to show that the representation theory of the former is conceptually explained by that of the latter.
dc.publisherTbilisi Centre for Mathematical Sciences
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleOn the concrete representation of discrete enriched abstract clones
dc.typeArticle
prism.endingPage328
prism.issueIdentifier3
prism.publicationNameTbilisi Mathematical Journal
prism.startingPage297
prism.volume10
dc.identifier.doi10.17863/CAM.32856
dcterms.dateAccepted2017-11-26
rioxxterms.versionofrecord10.1515/tmj-2017-0115
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
rioxxterms.licenseref.startdate2017-11-26
dc.contributor.orcidFiore, Marcelo [0000-0001-8558-3492]
dc.identifier.eissn1512-0139
dc.publisher.urlhttps://content.sciendo.com/view/journals/tmj/10/3/article-p297.xml
rioxxterms.typeJournal Article/Review
cam.issuedOnline2017-12-27
dc.identifier.urlhttps://content.sciendo.com/view/journals/tmj/10/3/article-p297.xml


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