A basis of identities of the algebra of third-order matrices over a finite field

DOI10.1007/BF01669108zbMath0493.16012MaRDI QIDQ1168398

Georgi K. Genov

Publication date: 1982

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187141

zbMATH Keywords

nilpotent algebrasfull matrix algebraT-idealcritical algebrasbasis of the identitieslocally finite variety of algebras

Mathematics Subject Classification ID

Rings with polynomial identity (16Rxx)

Related Items (7)

On the polynomial identities of the algebra \(M_{11}(E)\). ⋮ A Lie algebra over a finite field of characteristic 2: graded polynomial identities and Specht property ⋮ Matrix identities involving multiplication and transposition. ⋮ Weak polynomial identities and their applications ⋮ Associative rings ⋮ Finite Rings with Applications ⋮ Identities for a parametric Weyl algebra over a ring

Cites Work

• Identities satisfied by a finite ring
• Fermat's theorem for algebras
• Unnamed Item
• Unnamed Item

This page was built for publication: A basis of identities of the algebra of third-order matrices over a finite field