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math.AC2017
A commutative noetherian local ring of embedding dimension 4 having a transcendental series of Betti numbers
Jan-Erik Roos
We construct a ring with the properties of the title of the paper. We also construct some other local rings of embedding dimension 4 with exotic properties. Among the methods used…
math.AC2015
Homological Properties of the Homology Algebra of the Koszul Complex of a Local Ring. Examples and Questions
Jan-Erik Roos
Let be a local commutative noetherian ring and the homology ring of the corresponding Koszul complex. We study the homological properties of in particular the so-ca…
math.AC2012★ 4 cited
A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers
Clas Löfwall, Samuel Lundqvist, Jan-Erik Roos
We prove in particular that the Gorenstein numerical semigroup ring generated by (36,48,50,52,56,60,66,67,107,121,129,135) has a transcendental series of Betti numbers. The methods…