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arXiv · 1807.05143

Noncommutative algebras, context-free grammars and algebraic Hilbert series

Roberto La Scala·Dmitri Piontkovski·Sharwan K. Tiwari
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Abstract

In this paper we introduce a class of noncommutative (finitely generated) monomial algebras whose Hilbert series are algebraic functions. We use the concept of graded homology and the theory of unambiguous context-free grammars for this purpose. We also provide examples of finitely presented graded algebras whose corresponding leading monomial algebras belong to the proposed class and hence possess algebraic Hilbert series.

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Roberto La Scala, Dmitri Piontkovski, Sharwan K. Tiwari. 2018-07-13. Noncommutative algebras, context-free grammars and algebraic Hilbert series. https://arxiv.org/abs/1807.05143

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