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

• Clas Löfwall ^[1] ; Samuel Lundqvist ^[1] ; Jan-Erik Roos ^[1]
  1. [1] Stockholm University

     Stockholm University

     Suecia

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 3 ((March 2015)), 2015 (Ejemplar dedicado a: Special Issue in honor of Prof. Hans-Bjørn Foxby), págs. 591-621
• Idioma: inglés
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• Resumen

  • We prove in particular that the Gorenstein numerical semigroup ring generated by (36,48,50,52,56,60,66,67,107,121,129,135)(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.