The ring of arithmetical functions with unitary convolution: General Truncations
Abstract
Description
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 unitary divisors of v lie in V. We study the truncation A_V, an artinian monomial quotient of a polynomial ring in finitely many indeterminates, isomorphic to the ``Artinified'' Stanley-Reisner ring C[\bar{Δ(V)}] of a certain simplicial complex Δ(V).
27 pages, LaTeX2e
27 pages, LaTeX2e