$d$-Koszul algebras, 2-$d$ determined algebras and 2-$d$-Koszul algebras

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dc.creatorGreen, Edward L.
dc.creatorMarcos, Eduardo do N.
dc.date2008-12-17
dc.date2008-12-23
dc.date.accessioned2026-07-07T12:21:04Z
dc.date.available2026-07-07T12:21:04Z
dc.descriptionThe relationship between an algebra and its associated monomial algebra is investigated when at least one of the algebras is $d$-Koszul. It is shown that an algebra which has a reduced \grb basis that is composed of homogeneous elements of degree $d$ is $d$-Koszul if and only if its associated monomial algebra is $d$-Koszul. The class of 2-$d$-determined algebras and the class 2-$d$-Koszul algebras are introduced. In particular, it shown that 2-$d$-determined monomial algebras are 2-$d$-Koszul algebras and the structure of the ideal of relations of such an algebra is completely determined.
dc.identifierhttps://arxiv.org/abs/0812.3408
dc.identifierhttp://arxiv.org/abs/0812.3408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213253
dc.subjectRepresentation Theory
dc.subjectK-Theory and Homology
dc.title$d$-Koszul algebras, 2-$d$ determined algebras and 2-$d$-Koszul algebras
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