Allan, Graham and Kakiko, Grayson and 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:
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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