Mathematics – Commutative Algebra
Scientific paper
2002-05-23
Int. J. Math. Game Theory Algebra 13 (2003), no. 6, 485--519
Mathematics
Commutative Algebra
27 pages, LaTeX2e
Scientific paper
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{\Delta(V)}] of a certain simplicial complex \Delta(V).
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