The group of automorphisms of a commutative algebra

DOI10.1007/BF02572348zbMath0824.16025MaRDI QIDQ1895768

Francisco Guil-Asensio, Manuel Saorín

Publication date: 29 August 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174756

zbMATH Keywords

automorphism groupsemidirect productsolvable groupassociated graded algebraLoewy lengthlocal commutative algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Automorphisms and endomorphisms (16W20) Morphisms of commutative rings (13B10) Representations of groups as automorphism groups of algebraic systems (20F29) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Local rings and semilocal rings (13H99) Infinite automorphism groups (20B27)

Related Items (2)

The Lie algebra of derivations of a current Lie algebra ⋮ The automorphism group and the Picard group of a monomial algebra^*

Cites Work

• Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities
• Microlocal properties of filtered rings
• Isomorphisms between representations of algebras
• Examples of Ungradable Algebras
• Derivations and Automorphisms of Exterior Algebras
• The Picard Group of Noncommutative Rings, in Particular of Orders
• Algebras and their automorphism groups
• Structure of incidence algebras and their automorphism groups
• On Nilpotent Groups of Algebra Automorphisms
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