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Baer sums of special Schreier extensions of monoids

dc.contributor.authorMartins-Ferreira, Nelson
dc.contributor.authorMontoli, Andrea
dc.contributor.authorSobral, Manuela
dc.date.accessioned2025-05-28T11:10:39Z
dc.date.available2025-05-28T11:10:39Z
dc.date.issued2016-02-19
dc.description.abstractWe show that the special Schreier extensions of monoids, with abelian kernel, admit a Baer sum construction, which generalizes the classical one for group extensions with abelian kernel. In order to do that, we characterize the special Schreier extensions by means of factor sets.eng
dc.description.sponsorshipThis work was partially supported by the Centre for Mathematics of the University of Coimbra—UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and cofunded by the European Regional Development Fund through the Partnership Agreement PT2020, and also by ESTG and CDRSP—UID/Multi/04044/2013, from the Polytechnical Institute of Leiria. The second author is a Postdoctoral Researcher of the Fonds de la Recherche Scientifique—FNRS.
dc.identifier.citationMartins-Ferreira, N., Montoli, A. & Sobral, M. Baer sums of special Schreier extensions of monoids. Semigroup Forum 93, 403–415 (2016). https://doi.org/10.1007/s00233-016-9780-2
dc.identifier.doi10.1007/s00233-016-9780-2
dc.identifier.issn0037-1912
dc.identifier.issn1432-2137
dc.identifier.urihttp://hdl.handle.net/10400.8/13012
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Science and Business Media LLC
dc.relationCentre for Rapid and Sustainable Product Development
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s00233-016-9780-2
dc.relation.ispartofSemigroup Forum
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectMonoid
dc.subjectSpecial Schreier extension
dc.subjectBaer sum
dc.subjectFactor set
dc.titleBaer sums of special Schreier extensions of monoidseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCentre for Rapid and Sustainable Product Development
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04044%2F2013/PT
oaire.citation.endPage415
oaire.citation.issue2
oaire.citation.startPage403
oaire.citation.titleSemigroup Forum
oaire.citation.volume93
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameMartins-Ferreira
person.givenNameNelson
person.identifier485301
person.identifier.ciencia-idB115-B65E-24AA
person.identifier.orcid0000-0002-4199-7367
person.identifier.ridN-1699-2013
person.identifier.scopus-author-id24598020700
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
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relation.isAuthorOfPublication.latestForDiscovery52406f6a-2c36-4e9a-9996-d3cc719d46bf
relation.isProjectOfPublication9c625981-b187-4078-8cb2-d84b0d21a477
relation.isProjectOfPublication.latestForDiscovery9c625981-b187-4078-8cb2-d84b0d21a477

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