Finitely presented graded Lie algebras and homomorphisms of local rings

DOI10.1016/0022-4049(85)90012-XzbMath0575.13010WikidataQ115364458 ScholiaQ115364458MaRDI QIDQ1064358

Carl Jacobsson

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

graded Lie algebrasenveloping algebrasNoetherian local ringfinitely-presented graded Hopf algebrasGolod attached local ringtranscendental Hilbert seriestranscendental Poincaré series

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Graded Lie (super)algebras (17B70) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Regular local rings (13H05) Homological methods in commutative ring theory (13D99)

Related Items (9)

Rationality of the Poincaré series for Koszul algebras. ⋮ Approximations with modules having linear resolutions. ⋮ Free resolutions over short Gorenstein local rings ⋮ Linearity defect of edge ideals and Fröberg's theorem ⋮ Koszul modules ⋮ Good and bad Koszul algebras and their Hochschild homology ⋮ Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos ⋮ Rational dependence among Hilbert and Poincaré series ⋮ On the homotopy Lie algebra of a local ring

Cites Work

• Rational dependence among Hilbert and Poincaré series
• On the homotopy Lie algebra of a local ring
• Diophantine equations, Hilbert series, and undecidable spaces
• A graded algebra with a non-rational Hilbert series
• A counterexample to a conjecture of Serre
• Small homomorphisms of local rings
• Cohomology of Lie algebras
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