A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers

作者：Lofwall Clas^*; Lundqvist Samuel; Roos Jan Erik

来源：Journal of Pure and Applied Algebra, 2015, 219(3): 591-621.

DOI：10.1016/j.jpaa.2014.05.016

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 of proofs are the theory of Golod homomorphism, large maps and the theory of infinite positively graded Lie algebras.

• 出版日期2015-3