Infinitesimal extensions of commutative algebras

DOI10.1016/0022-4049(80)90016-XzbMath0431.13014MaRDI QIDQ1138048

Peter Seibt

Publication date: 1980

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

zbMATH Keywords

cohomology functorsfunctor of derivationsinfinitesimal extensionsL- algebrasnoetherian formally smooth algebrasregular algebra of finitely generated type

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Extension theory of commutative rings (13B02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (7)

Differential forms on quasihomogeneous noncomplete intersections ⋮ The Poincaré index and the χ_y-characteristic of Hirzebruch ⋮ On the Milnor and Tjurina numbers of zero-dimensional singularities ⋮ Deformations of commutative Artinian algebras ⋮ The index of differential forms on complete intersections ⋮ Unnamed Item ⋮ On the Vanishing of the First André–Quillen Homology

Cites Work

• Unnamed Item
• Criteria for equality of ordinary and symbolic powers of primes
• 1-dimensional Cohen-Macaulay rings
• Cohomology of algebras and triple systems
• A cohomology theory for commutative algebras. I
• The Cotangent Complex of a Morphism

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