The ring of arithmetical functions with unitary convolution: General Truncations
Jan Snellman
Abstract
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 AV, an artinian monomial quotient of a polynomial ring in finitely many indeterminates, isomorphic to the ``Artinified'' Stanley-Reisner ring C[Δ(V)] of a certain simplicial complex Δ(V).
Create a lesson
Related papers
Counterexamples to Minkowski-type inequalities and the Rees converse for modules via mixed Buchsbaum-Rim Multiplicities
V. H. Jorge Perez
A complex associated to a family of ideals and applications to subspace arrangements
Aldo Conca, Manolis C. Tsakiris
On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras
Anderson Porto, Marcelo Veloso
Hook algebras and determinantal varieties
Steven V Sam, Keller VandeBogert, Jerzy Weyman
Polycubes and polycube ideals
Ayesha Asloob Qureshi, Dharm Veer
Derived functors and Hilbert polynomials over dominant Cohen-Macaulay rings
Tony J. Puthenpurakal