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Noncommutative algebras, context-free grammars and algebraic Hilbert series
Roberto La Scala, Dmitri Piontkovski, Sharwan K. Tiwari
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…
Multigraded Hilbert Series of noncommutative modules
Roberto La Scala, Sharwan K. Tiwari
In this paper, we propose methods for computing the Hilbert series of multigraded right modules over the free associative algebra. In particular, we compute such series for noncomm…
Modular Techniques For Noncommutative Gröbner Bases
Wolfram Decker, Christian Eder, Viktor Levandovskyy +1
In this note, we extend modular techniques for computing Gröbner bases from the commutative setting to the vast class of noncommutative -algebras. As in the commutative case, an…