Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7343
Title: Injective modules over down-up algebras
Authors: Carvalho, Paula A.A.B.
Lomp, Christian
Pusat, Dilek
Keywords: Modules (Algebra)
Noetherian rings
Issue Date: 2010
Publisher: Cambridge University Press
Source: 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
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.
URI: http://doi.org/10.1017/S0017089510000261
https://hdl.handle.net/11147/7343
ISSN: 0017-0895
0017-0895
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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