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 XFile in questo prodotto:
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