We introduce the ring of formal polynomials and define a suitable uniform structure that makes it a complete uniform ring. Moreover, we consider the ring of symmetric functions as a subring of the formal polynomials and show that its uniform completion is nondiscrete and metrizable, constructing also a canonical metric. Finally, we prove that this uniform completion is essentially independent on X

The Complete Uniform Ring of Formal Polynomials

SENATO PULLANO, Domenico;VITOLO, Paolo
2001-01-01

Abstract

We introduce the ring of formal polynomials and define a suitable uniform structure that makes it a complete uniform ring. Moreover, we consider the ring of symmetric functions as a subring of the formal polynomials and show that its uniform completion is nondiscrete and metrizable, constructing also a canonical metric. Finally, we prove that this uniform completion is essentially independent on X
2001
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/15230
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