Context-free languages and associative algebras with algebraic Hilbert series

DOI10.1007/978-3-030-63111-6_14zbMath1486.16006arXiv2001.09112OpenAlexW3001424014MaRDI QIDQ824450

Roberto La Scala, Dmitri Piontkovski

Publication date: 15 December 2021

Full work available at URL: https://arxiv.org/abs/2001.09112

zbMATH Keywords

associative algebrasalgebraic generating functionsgraded homology

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Free semigroups, generators and relations, word problems (20M05) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

Graded algebras, algebraic functions, planar trees, and elliptic integrals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monomial right ideals and the Hilbert series of noncommutative modules
• 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
• Quadratic automaton algebras and intermediate growth
• Algebras of linear growth and the dynamical Mordell-Lang conjecture
• Multigraded Hilbert series of noncommutative modules
• On the global dimension of an algebra
• The Hilbert series of prime PI rings.
• Noncommutative algebras, context-free grammars and algebraic Hilbert series
• Graded algebras
• ON THE USE OF GRAPHS FOR COMPUTING A BASIS, GROWTH AND HILBERT SERIES OF ASSOCIATIVE ALGEBRAS
• On the Homology of Associative Algebras
• Another Graded Algebra with a Nonrational Hilbert Series
• On the rationality of Hilbert series of relatively free algebras
• Intermediate growth in finitely presented algebras
• Gröbner–Shirshov bases and their calculation
• Finitely presented quadratic algebras of intermediate growth