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math.AC2002★ 1 cited
The ring of arithmetical functions with unitary convolution: the [n]-truncation
Jan Snellman
We study a certain truncation of the ring of arithmetical functions with unitary convolution, consisting of functions vanishing on arguments >n. The truncations are artinian monomi…
math.AC2002
The ring of arithmetical functions with unitary convolution: General Truncations
Jan Snellman
Let A denote the ring of arithmetical functions with unitary convolution, and let V be a finite subset of the positive integers having the property that for every v in V, all unita…
math.AC2002
The ring of arithmetical functions with unitary convolution: Divisorial and topological properties
Jan Snellman
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 isomorph…