Counterexamples for tensor products of p.I. Algebras

DOI10.1080/00927878808823616zbMath0639.16009OpenAlexW1969201430MaRDI QIDQ3781234

Allan Berele

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823616

zbMATH Keywords

matrix algebrapolynomial identitieshomogeneous identitiesT-prime T-idealstensor product of PI-algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Rings with polynomial identity (16Rxx)

Cites Work

• The Kronecker product of \(S_n\)-characters and an \(A\otimes B\) theorem for Capelli identities
• Polynomial identities of related rings
• Existence of identities in \(A \otimes B\)
• Incidence algebras, polynomial identities, and an a⊗b counterexample

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