Separable algebras over infinite fields are 2-generated and finitely presented.

DOI10.1007/s00013-009-0058-8zbMath1190.16026OpenAlexW1983306381MaRDI QIDQ1047896

Bogdan V. Petrenko, Marcin Mazur

Publication date: 8 January 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0058-8

zbMATH Keywords

conjugacy invariantsseparable algebrasgenerators of algebraspresentations of algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Trace rings and invariant theory (associative rings and algebras) (16R30) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

Generators of maximal orders. ⋮ Weakly separable algebras

Cites Work

• Recognition of matrix rings. II
• An \(L_2\)-quotient algorithm for finitely presented groups.
• On pairs of matrices generating matrix rings and their presentations.
• Generators of maximal orders.
• The Brauer Group of a Commutative Ring
• Recognition of matrix rings