Results 211 to 220 of about 297,692 (235)
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Simple Modules and Primitive Ideals of Non-Noetherian Generalized Down-Up Algebras
Communications in Algebra, 2009Generalized down-up algebras were first introduced in Cassidy and Shelton (2004). Their simple weight modules were classified in Cassidy and Shelton (2004) in the noetherian case, and in Praton (2007) in the non-noetherian case. Here we concentrate on non-noetherian down-up algebras. We show that almost all simple modules are weight modules.
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Down–up algebras over a polynomial base ring 𝕂[t1,…,tn]
Journal of Algebra and Its Applications, 2015We study a class of down–up algebras 𝒜(α, β, ϕ) defined over a polynomial base ring 𝕂[t1,…,tn] and establish several analogous results. We first construct a 𝕂-basis for the algebra 𝒜(α, β, ϕ). As an application, we completely determine the center of 𝒜(α, β, ϕ) when char 𝕂 = 0, and prove that the Gelfand–Kirillov dimension of 𝒜(α, β, ϕ) is n + 3. Then,
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Non-noetherian down-up algebras
Communications in Algebra, 2000Ellen Kirkman, James Kuzmanovich
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Primitivity of Noetherian Down-Up Algebras
Communications in Algebra, 2000Ellen Kirkman, James Kuzmanovich
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Risks of leukaemia and solid tumours in individuals with Down's syndrome
Lancet, The, 2000Henrik Hasle
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Mortality associated with Down's syndrome in the USA from 1983 to 1997: a population-based study
Lancet, The, 2002Quanhe Yang, Jan M Friedman
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Primitive Ideals of Noetherian Down-Up Algebras
Communications in Algebra, 2004openaire +1 more source