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

Jan Snellman

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Displaying similar documents to “The ring of arithmetical functions with unitary convolution: Divisorial and topological properties”

A note on some discrete valuation rings of arithmetical functions

Emil Daniel Schwab, Gheorghe Silberberg (2000)

Archivum Mathematicum

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The paper studies the structure of the ring A of arithmetical functions, where the multiplication is defined as the Dirichlet convolution. It is proven that A itself is not a discrete valuation ring, but a certain extension of it is constructed,this extension being a discrete valuation ring. Finally, the metric structure of the ring A is examined.

A characterization of Krull rings with zero divisors

Franz Halter-Koch (1993)

Archivum Mathematicum

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It is proved that a Marot ring is a Krull ring if and only if its monoid of regular elements is a Krull monoid.