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math.RA2010
The Golod-Shafarevich inequality for Hilbert series of quadratic algebras and the Anick conjecture
Natalia Iyudu, Stanislav Shkarin
We study the question on whether the famous Golod-Shafarevich estimate, which gives a lower bound for the Hilbert series of a (noncommutative) algebra, is attained. This question w…
math.OA2010★ 1 cited
K-theory of locally finite graph -algebras
Natalia Iyudu
We calculate the K-theory of the Cuntz-Krieger algebra associated with an infinite, locally finite graph, via the Bass-Hashimoto operator. The formulae we get express…