The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations

Detalhes bibliográficos
Autor(a) principal: Martins-Ferreira, Nelson
Data de Publicação: 2018
Outros Autores: Montoli, Andrea, Sobral, Manuela
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.8/8523
Resumo: Acknowledgements: We wish to express our gratitude to Alex Patchkoria for pointing out to us the existence of some old literature, of not easy access, related to the subject of this paper. This work was partially supported by the Centre for Mathematics of the University of Coimbra – UID/MAT/00324/2013, by ESTG and CDRSP from the Polytechnical Institute of Leiria – UID/Multi/04044/2013, funded by the Portuguese Government through FCT/MCTES and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. This work was partially supported by the Programma per Giovani Ricercatori “Rita Levi-Montalcini”, Funded by the Italian government through MIUR.
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spelling The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operationsMonoids with operationsSpecial Schreier extensionNine LemmaPush forwardBaer sumAcknowledgements: We wish to express our gratitude to Alex Patchkoria for pointing out to us the existence of some old literature, of not easy access, related to the subject of this paper. This work was partially supported by the Centre for Mathematics of the University of Coimbra – UID/MAT/00324/2013, by ESTG and CDRSP from the Polytechnical Institute of Leiria – UID/Multi/04044/2013, funded by the Portuguese Government through FCT/MCTES and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. This work was partially supported by the Programma per Giovani Ricercatori “Rita Levi-Montalcini”, Funded by the Italian government through MIUR.We show that the Nine Lemma holds for special Schreier extensions of monoids with operations. This fact is used to obtain a push forward construction for special Schreier extensions with abelian kernel. This construction permits to give a functorial description of the Baer sum of such extensions.SpringerIC-OnlineMartins-Ferreira, NelsonMontoli, AndreaSobral, Manuela2023-05-26T13:41:25Z2018-08-102018-08-10T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/8523engMartins-Ferreira, N., Montoli, A. & Sobral, M. The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations. Semigroup Forum 97, 325–352 (2018). https://doi.org/10.1007/s00233-018-9962-11432-2137https://doi.org/10.1007/s00233-018-9962-1info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-17T15:57:30Zoai:iconline.ipleiria.pt:10400.8/8523Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:51:13.383317Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
title The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
spellingShingle The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
Martins-Ferreira, Nelson
Monoids with operations
Special Schreier extension
Nine Lemma
Push forward
Baer sum
title_short The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
title_full The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
title_fullStr The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
title_full_unstemmed The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
title_sort The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
author Martins-Ferreira, Nelson
author_facet Martins-Ferreira, Nelson
Montoli, Andrea
Sobral, Manuela
author_role author
author2 Montoli, Andrea
Sobral, Manuela
author2_role author
author
dc.contributor.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Martins-Ferreira, Nelson
Montoli, Andrea
Sobral, Manuela
dc.subject.por.fl_str_mv Monoids with operations
Special Schreier extension
Nine Lemma
Push forward
Baer sum
topic Monoids with operations
Special Schreier extension
Nine Lemma
Push forward
Baer sum
description Acknowledgements: We wish to express our gratitude to Alex Patchkoria for pointing out to us the existence of some old literature, of not easy access, related to the subject of this paper. This work was partially supported by the Centre for Mathematics of the University of Coimbra – UID/MAT/00324/2013, by ESTG and CDRSP from the Polytechnical Institute of Leiria – UID/Multi/04044/2013, funded by the Portuguese Government through FCT/MCTES and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. This work was partially supported by the Programma per Giovani Ricercatori “Rita Levi-Montalcini”, Funded by the Italian government through MIUR.
publishDate 2018
dc.date.none.fl_str_mv 2018-08-10
2018-08-10T00:00:00Z
2023-05-26T13:41:25Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.8/8523
url http://hdl.handle.net/10400.8/8523
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Martins-Ferreira, N., Montoli, A. & Sobral, M. The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations. Semigroup Forum 97, 325–352 (2018). https://doi.org/10.1007/s00233-018-9962-1
1432-2137
https://doi.org/10.1007/s00233-018-9962-1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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