The ring of arithmetical functions with unitary convolution: the [n]-truncation

2002/08/23 by Jan Snellman
Mathematics · #math.AC

paper · pdf

published as International Journal of Mathematics Game Theory and Algebra, 13 (2003), no. 6, 485--519 · 23 pages

arxiv created 2002/08/23 · arxiv updated 2009/11/30

Abstract

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 monomial quotients of a polynomial ring in finitely many indeterminates, and are isomorphic to the ``artinified'' Stanley-Reisner rings of certain simplicial complexes.

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