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math.AC2000
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…
math.AC2000
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…
math.AC2000
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…