Graph Magma Algebras have no projective bases

We extend the recently obtained result that there exist Graph Magma Algebras that have neither simple nor projective bases to show that, in fact, no Graph Magma Algebra has a projective basis.

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 69; no. 11; pp. 1997 - 2005
Main Authors López-Permouth, Sergio R., Stanley, Benjamin
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 18.08.2021
Taylor & Francis Ltd
Subjects
Algebra
Amenable bases
congeniality of bases
graph magma algebras
infinite-dimensional algebras
Magma
projective bases
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Summary:We extend the recently obtained result that there exist Graph Magma Algebras that have neither simple nor projective bases to show that, in fact, no Graph Magma Algebra has a projective basis.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2019.1652552