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

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

2002-08-23

arxiv.org/abs/math/0208183v1

International Journal of Mathematics Game Theory and Algebra, 13 (2003), no. 6, 485--519

Mathematics

Commutative Algebra

23 pages

Scientific paper

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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