@misc{10481/59190, year = {2019}, url = {http://hdl.handle.net/10481/59190}, 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.}, publisher = {Drustvo Matematikov, Fizikov in Astronomov}, keywords = {Linearly recursive sequences}, keywords = {Adic topologies}, keywords = {Power series}, keywords = {Hopf algebras}, title = {Comparing topologies on linearly recursive sequences}, doi = {10.26493/1855-3974.1436.7a2}, author = {El Kaoutit Zerri, Laiachi and Saracco, Paolo}, }