10 citations · 13 across the 7 of their papers we have counts for
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The ring of arithmetical functions with unitary convolution: the [n]-truncation
Jan Snellman
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 monomi…
The ring of arithmetical functions with unitary convolution: General Truncations
Jan Snellman
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 unita…
The ring of arithmetical functions with unitary convolution: Divisorial and topological properties
Jan Snellman
We study the ring of arithmetical functions with unitary convolution, giving an isomorphism to a generalized power series ring on infinitely many variables, similar to the isomorph…
Lifting Grobner bases from the exterior algebra
Andreas Nilsson, Jan Snellman
In the article "Non-commutative Grobner bases for commutative algebras", Eisenbud-Peeva-Sturmfels proved a number of results regarding Grobner bases and initial ideals of those ide…
Some conjectures about the Hilbert series of generic ideals in the exterior algebra
Jan Snellman, Guillermo Moreno-Socias
We give conjectures on the "asymptotic" behaviour of the Hilbert series of (quotients by) generic ideals in the exterior algebra, as the number of variables tend to infinity. Our c…
Generalised Hilbert Numerators II
Jan Snellman
We associate to each -multigraded, locally finitely generated ideal in the "large polynomial ring" on countably many indeterminates a power series in variables; this power s…