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

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Resumo: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.
Autores principais:Martins-Ferreira, Nelson
Outros Autores:Montoli, Andrea; Sobral, Manuela
Assunto:Monoids with operations Special Schreier extension Nine Lemma Push forward Baer sum
Ano:2018
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Instituto Politécnico de Leiria
Idioma:inglês
Origem:IC-online
Descrição
Resumo: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.