A -algebra without generalized topological divisors of zero
Let be a completely regular space. We denote by the locally convex algebra of all continuous functions on valued in a locally convex algebra with a unit Let be its subalgebra consisting of all bounded continuous functions and endowed with the topology given by the uniform seminorms of on It is clear that can be seen as the subalgebra of the constant functions of . We prove that if is a Q-algebra, that is, if the set of the invertible elements of is open, or a Q-álgebra with...
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