Injective modules over down-up algebras
| dc.contributor.author | Carvalho, Paula A.A.B. | |
| dc.contributor.author | Lomp, Christian | |
| dc.contributor.author | Pusat, Dilek | |
| dc.coverage.doi | 10.1017/S0017089510000261 | |
| dc.date.accessioned | 2019-11-07T13:02:07Z | |
| dc.date.available | 2019-11-07T13:02:07Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | The purpose of this paper is to study finiteness conditions on injective hulls of simple modules over Noetherian down-up algebras. We will show that the Noetherian down-up algebras A(α, β, γ) which are fully bounded are precisely those which are module-finite over a central subalgebra. We show that injective hulls of simple A(α, β, γ)-modules are locally Artinian provided the roots of X2 − αX − β are distinct roots of unity or both equal to 1. | en_US |
| dc.identifier.citation | Carvalho, P.A.A.B., Lomp, C., and Pusat, D. (2010). Injective modules over down-up algebras. Glasgow Mathematical Journal, 52(Issue A), 53-59. doi:10.1017/S0017089510000261 | en_US |
| dc.identifier.doi | 10.1017/S0017089510000261 | en_US |
| dc.identifier.issn | 0017-0895 | |
| dc.identifier.issn | 0017-0895 | |
| dc.identifier.issn | 1469-509X | |
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| dc.identifier.uri | http://doi.org/10.1017/S0017089510000261 | |
| dc.identifier.uri | https://hdl.handle.net/11147/7343 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge University Press | en_US |
| dc.relation.ispartof | Glasgow Mathematical Journal | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Modules (Algebra) | en_US |
| dc.subject | Noetherian rings | en_US |
| dc.title | Injective modules over down-up algebras | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Pusat, Dilek | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 59 | en_US |
| gdc.description.issue | Issue A | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 53 | en_US |
| gdc.description.volume | 52 | en_US |
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| gdc.oaire.keywords | Rings and Algebras (math.RA) | |
| gdc.oaire.keywords | Noetherian rings | |
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| gdc.oaire.keywords | Modules (Algebra) | |
| gdc.oaire.keywords | Mathematics - Rings and Algebras | |
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