Abstract
AbstractN(G) denotes the near-ring of all continuous selfmaps of the topological group G (under composition and the pointwise induced operation) and N0(G) is the subnear-ring of N(G) consisting of all functions having the identity element of G fixed. It is known that if G is discrete then (a) N0(G) is simple and (b) N(G) is simple if and only if G is not of order 2. We begin a study of the ideal structure of these near-rings when G is a disconnected group.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. �ber die Einfachheit von Funktionenalgebren
2. Another S-admissible class of spaces;Magill;Proc. Amer. Math. Soc.,1967
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