The ring of arithmetical functions with unitary convolution: the [n]-truncation
Commutative Algebra
2007-05-23 v1
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.
Cite
@article{arxiv.math/0208183,
title = {The ring of arithmetical functions with unitary convolution: the [n]-truncation},
author = {Jan Snellman},
journal= {arXiv preprint arXiv:math/0208183},
year = {2007}
}
Comments
23 pages