A graded algebra with a non-rational Hilbert series

DOI10.1016/0021-8693(80)90213-6zbMath0436.16001OpenAlexW2056305321MaRDI QIDQ1140695

James B. Shearer

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90213-6

zbMATH Keywords

rational functionHilbert seriesgraded algebrahomogeneous component

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50)

Related Items (18)

On Semigroups of Intermediate Growth ⋮ Graded algebras, algebraic functions, planar trees, and elliptic integrals ⋮ Context-free languages and associative algebras with algebraic Hilbert series ⋮ Graded algebras and their Euler-Poincaré series ⋮ Rationality of the Poincaré series for Koszul algebras. ⋮ Growth of nonsymmetric operads ⋮ Noncommutative algebras, context-free grammars and algebraic Hilbert series ⋮ Another Graded Algebra with a Nonrational Hilbert Series ⋮ Non-commutative graded algebras and their Hilbert series ⋮ POTENTIAL ALGEBRAS WITH FEW GENERATORS ⋮ Non-commutative Gröbner bases for commutative algebras ⋮ Relatively free semigroups of intermediate growth ⋮ ON THE SUPERDIMENSIONS OF RELATIVELY FREE NILPOTENT SEMIGROUPS ⋮ Lifting Gröbner Bases from the Exterior Algebra ⋮ TYPES OF GROWTH AND IDENTITIES OF SEMIGROUPS ⋮ Regular Gröbner bases ⋮ Rational dependence among Hilbert and Poincaré series ⋮ Finitely presented graded Lie algebras and homomorphisms of local rings

Cites Work

• Graded algebras
• The Hilbert series of some graded algebras and the Poincaré series of some local rings.
• Unnamed Item

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