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- W2950793934 abstract "We 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." @default.
- W2950793934 created "2019-06-27" @default.
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- W2950793934 date "2002-01-10" @default.
- W2950793934 modified "2023-09-27" @default.
- W2950793934 title "The ring of arithmetical functions with unitary convolution: Divisorial and topological properties" @default.
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