Israel Journal of Mathematics

, Volume 11, Issue 2, pp 131–152 | Cite as

Existence of identities inAB

  • Amitai Regev


The following theorem is proved: ifA andB are twoPI-algebras over a fieldF, thenA F B is aPI-algebra.


Dime Versus Polynomial Identity Dimensional Vector Space Binomial Coefficient Minimal Identity 
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  1. 1.
    N. Jacobson.,Structure of Rings, Amer. Math. Soc. Colloquim, Publication 37, 2nd edition chapter 10, 1964.Google Scholar
  2. 2.
    C. Procesi and L. Small,Endomorphism rings of modules over PI-algebra, Math. Z.106 (1968), 178–180.zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Hebrew University 1972

Authors and Affiliations

  • Amitai Regev
    • 1
  1. 1.Department of Mathematical SciencesTel Aviv UniversityTel AvivIsrael

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