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Allan, Graham, Kakiko, Grayson, O'Farrell, A.G. and Watson, R.O. (2001) Localness of A (Ψ) Algebras. Mathematical Proceedings of the Royal Irish Academy, 101A (1). pp. 61-70. ISSN 1393-7197
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Abstract
Let d and r be positive integers. Given Ψ = (v/₁,…,v/ᵣ) ∈ C∞ (Rᵈ,Rr), we consider the unital algebra R[Ψ] = R[v/₁,…,v/ᵣ] generated by {v/₁,…,v/ᵣ}, and its closure A(Ψ) in C∞ topology.
We identify the space of closed maximal ideals of A(Ψ), we establish that it is a regular algebra, and we show that the approximation problem, to provide an explicit description of Ψ, we establish that it is a regular algebra, and we show that the approximation problem, to provide an explicit description of Ψ, is local to the level sets of Ψ.
| Item Type: | Article |
|---|---|
| Additional Information: | This is the preprint version of the published article. |
| Keywords: | Localness; A(psi); Algebras; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 6988 |
| Depositing User: | Prof. Anthony O'Farrell |
| Date Deposited: | 25 Feb 2016 12:16 |
| Journal or Publication Title: | Mathematical Proceedings of the Royal Irish Academy |
| Publisher: | Royal Irish Academy |
| Refereed: | Yes |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/6988 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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