Azumaya-like properties of verbally prime algebras

DOI10.1016/0021-8693(90)90270-XzbMath0706.16014MaRDI QIDQ919080

Allan Berele

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Azumaya algebrasverbally prime algebrascentrefinitely generated Z-modulenon- nilpotent idealprime PI algebra

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (2)

New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings ⋮ T-ideals and superAzumaya algebras

Cites Work

• Unnamed Item
• Tensor products of matrix algebras over the Grassmann algebra
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• TRACE IDENTITIES AND CENTRAL POLYNOMIALS IN THE MATRIX SUPERALGEBRAS $ M_{n,k}$
• The T -Ideals of the Free Ring

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