2001/02/16 by Thomas William Dawson, Thomas Dawson, Dawson, Thomas · 1 citation
Computer Science · Mathematics · #46J #Advanced Algebra and Logic #FOS: Mathematics #Functional Analysis (math.FA) #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #math.FA #msc:46J
paper · pdf · doi:10.48550/arxiv.math/0102131
TeX. 47 pages, 0 figures. M.Math Dissertation, University of Nottingham, academic year 1999-2000
arxiv created 2001/02/16 · openalex publication_date 2001/02/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compare two known methods of extending a complex, unital, commutative normed algebra so as to include solutions to sets of monic polynomials over the original algebra. (One of these is a generalisation of a construction from the thesis of B. J. Cole and only applies to uniform algebras.) An example is given to show that they can lead to essentially different algebras. Integrally closed extensions which generalise Cole's `universal root algebras' are also constructed .