Noncommutative algebras, context-free grammars and algebraic Hilbert series

DOI10.1016/j.jsc.2019.06.005zbMath1455.16007arXiv1807.05143OpenAlexW2963470393WikidataQ127584457 ScholiaQ127584457MaRDI QIDQ2188973

Dmitri Piontkovski, Roberto La Scala, Sharwan K. Tiwari

Publication date: 15 June 2020

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05143

zbMATH Keywords

associative algebrasalgebraic generating functionsgraded homology

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Grammars and rewriting systems (68Q42) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (2)

Graded algebras, algebraic functions, planar trees, and elliptic integrals ⋮ Context-free languages and associative algebras with algebraic Hilbert series

Uses Software

• SINGULAR
• BERGMAN
• ANICK

Cites Work

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• Computing minimal free resolutions of right modules over noncommutative algebras
• A graded algebra with a non-rational Hilbert series
• An introduction to commutative and noncommutative Gröbner bases
• Multigraded Hilbert series of noncommutative modules
• On the global dimension of an algebra
• Graded algebras
• On the Homology of Associative Algebras
• Another Graded Algebra with a Nonrational Hilbert Series
• Intermediate growth in finitely presented algebras
• Gröbner–Shirshov bases and their calculation
• SINGULAR
• Finitely presented quadratic algebras of intermediate growth

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