The ring of arithmetical functions with unitary convolution: Divisorial and topological properties

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dc.creatorSnellman, Jan
dc.date2002-01-10
dc.date.accessioned2026-07-07T04:45:47Z
dc.date.available2026-07-07T04:45:47Z
dc.descriptionWe study the ring of arithmetical functions with unitary convolution, giving an isomorphism to a generalized power series ring on infinitely many variables, similar to the isomorphism of Cashwell-Everett between the ring of arithmetical functions with Dirichlet convolution and the power series ring on countably many variables. We topologize it with respect to a natural norm, and shove that all ideals are quasi-finite. Some elementary results on factorization into atoms are obtained. We prove the existence of an abundance of non-associate regular non-units.
dc.description15 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0201082
dc.identifierhttp://arxiv.org/abs/math/0201082
dc.identifierArchivum mathematicum 2004/2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63082
dc.subjectCommutative Algebra
dc.subject11A25; 13J05
dc.titleThe ring of arithmetical functions with unitary convolution: Divisorial and topological properties
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