New Wide Classes of Weakly Mal’tsev Categories

Martins-Ferreira, Nelson

Publication

New Wide Classes of Weakly Mal’tsev Categories

2015-10Journal article

datacite.subject.fos	Engenharia e Tecnologia
datacite.subject.sdg	09:Indústria, Inovação e Infraestruturas
dc.contributor.author	Martins-Ferreira, Nelson
dc.date.accessioned	2025-06-17T16:42:06Z
dc.date.available	2025-06-17T16:42:06Z
dc.date.issued	2015-10
dc.description.abstract	The following classes of categories are shown to be weakly Mal’tsev in the sense of the author: (i) a suitable class of algebras with cancellation; (ii) the dual of any quasi-adhesive category; (iii) the dual of any extensive category with pullback-stable epimorphisms; (iv) the dual of any solid quasi-topos. The examples in (i) include all the Mal’tsev varieties of algebras such as groups, rings, Lie algebras, etc., but also distributive lattices and commutative monoids with cancellation. The examples in (ii)-(iv) capture many of the familiar aspects of topological spaces. © 2014, Springer Science+Business Media Dordrecht.	eng
dc.description.sponsorship	This work is financed by the ERDF í European Regional Development Fund through the COMPETE Programme (operational programme for competitiveness) and by National Funds through the FCT í Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) within project ref. FCOMP-01-0124-FEDER-022701, and in the context of the projects PEstOE/EEI/UI0127/2014 and Incentivo/EEI/UI0127/2014.
dc.identifier.citation	Martins-Ferreira, N. New Wide Classes of Weakly Mal’tsev Categories. Appl Categor Struct 23, 741–751 (2015). https://doi.org/10.1007/s10485-014-9377-4
dc.identifier.doi	10.1007/s10485-014-9377-4
dc.identifier.issn	0927-2852
dc.identifier.issn	1572-9095
dc.identifier.uri	http://hdl.handle.net/10400.8/13310
dc.language.iso	eng
dc.peerreviewed	yes
dc.publisher	Springer Nature
dc.relation	Strategic Project - UI 127 - 2014
dc.relation	Incentive - UI 127 - 2014
dc.relation	FCOMP-01-0124-FEDER-022701
dc.relation.hasversion	https://link.springer.com/article/10.1007/s10485-014-9377-4
dc.relation.ispartof	Applied Categorical Structures
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject	Extensive category
dc.subject	Local coproduct
dc.subject	Pullback-stable epimorphism
dc.subject	Quasi-adhesive category
dc.subject	Solid quasi-topos
dc.subject	Stable coproduct
dc.subject	Topological space
dc.subject	Van Kampen square
dc.subject	Weakly Mal’tsev category
dc.title	New Wide Classes of Weakly Mal’tsev Categories	eng
dc.type	journal article
dspace.entity.type	Publication
oaire.awardTitle	Strategic Project - UI 127 - 2014
oaire.awardTitle	Incentive - UI 127 - 2014
oaire.awardURI	http://hdl.handle.net/10400.8/13306
oaire.awardURI	http://hdl.handle.net/10400.8/13309
oaire.citation.endPage	751
oaire.citation.issue	5
oaire.citation.startPage	741
oaire.citation.title	Applied Categorical Structures
oaire.citation.volume	23
oaire.fundingStream	6817 - DCRRNI ID
oaire.fundingStream	6817 - DCRRNI ID
oaire.version	http://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyName	Martins-Ferreira
person.givenName	Nelson
person.identifier	485301
person.identifier.ciencia-id	B115-B65E-24AA
person.identifier.orcid	0000-0002-4199-7367
person.identifier.rid	N-1699-2013
person.identifier.scopus-author-id	24598020700
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