On the homotopy Lie algebra of a local ring

DOI10.1016/0022-4049(85)90018-0zbMath0575.13011OpenAlexW1971668829WikidataQ115364457 ScholiaQ115364457MaRDI QIDQ1064359

Clas Löfwall

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90018-0

zbMATH Keywords

formal power series ringGolod mapenveloping algebra of a graded Lie algebraequi-characteristic local ringsFröberg local rings

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 (4)

Poincaré series of modules over compressed Gorenstein local rings ⋮ A computer-aided study of the graded Lie algebra of a local commutative noetherian ring. -- Appendix A: Some technical details about how the computer was used. -- Appendix B (by Clas Löfwall): The Lie algebra structure of a ring satisfying \({\mathcal M}_ 3\) and variants ⋮ Sufficient Condition to Resolve Costa's First Conjecture ⋮ Finitely presented graded Lie algebras and homomorphisms of local rings

Cites Work

• Finitely presented graded Lie algebras and homomorphisms of local rings
• The Ext-algebra of a Golod ring
• Finitely generated Ext algebras.
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