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Noncommutative algebras, context-free grammars and algebraic Hilbert series. (arXiv:1807.05143v1 [math.RA])
来源于:arXiv
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. 查看全文>>