Finitely generated algebras with involution and their identities

2012/06/26 by Irina Sviridova, Sviridova, Irina
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1206.6033

openalex publication_date 2012/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Associative algebras with involution over a field of zero characteristic are considered. It is proved that in this case for any finitely generated associative algebra with involution there exists a finite dimensional algebra with involution which satisfies exactly the same identities with involution.

Citations

• Representability and Specht problem for G-graded algebras

Related

• Finite basis problem for identities with involution
• Identities of finitely generated graded algebras with involution
• Associative nil-algebras over finite fields
• Finite generation of Lie derived powers of associative algebras
• Finite generation of Lie algebras associated to associative algebras