Comparing topologies on linearly recursive sequences

Laiachi El Kaoutit, Paolo Saracco

Abstract


The space of linearly recursive sequences of complex numbers admits two distinguished topologies. Namely, the adic topology induced by the ideal of those sequences whose first term is 0 and the topology induced from the Krull topology on the space of complex power series via a suitable embedding. We show that these topologies are not equivalent.


Keywords


Linearly recursive sequences, adic topologies, power series, Hopf algebras

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DOI: https://doi.org/10.26493/1855-3974.1436.7a2

ISSN: 1855-3974

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