Classifying generic algebras

DOI10.1216/RMJM/1181072799zbMath0807.16022OpenAlexW2085351563MaRDI QIDQ1193049

Mary Elizabeth Schaps, Thierry Dana-Picard

Publication date: 27 September 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072799

zbMATH Keywords

idempotentslocal ringsdiagonalizationdirect sumgeneric algebrasgeneric unitary associative algebrasidempotent-creating deformationnonnilpotent sectionsradical flag

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Deformations of associative rings (16S80)

Related Items (5)

Partial Orders and CB-Degeneration Relation ⋮ Geometric degenerations of weighted surface algebras ⋮ Degenerations of nilpotent algebras ⋮ An infinite class of generic local algebras ⋮ Group inversion in certain finite-dimensional algebras generated by two idempotents

Cites Work

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• Moduli of commutative and non-commutative finite covers
• The algebraic and geometric classification of associative algebras of dimension five
• Which algebras deform into a total matrix algebra?
• On the deformation of rings and algebras
• Deformations of Finite Dimensional Algebras and Their Idempotents
• Punctual Hilbert schemes
• Straightening-Out and Semirigidity In Associative Algebras

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