Abstract
The set of polynomial identities of a ringA is considered, as well as some types of minimal identities. The change which occurs in these identities upon passage to related rings is then studied.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. A. Amitsur and J. Levitzki,Minimal identities for algebras, Proc. Amer. Math. Soc.1 (1950), 449–463.
S. A. Amitsur,The identities of PI-rings, Proc. Amer. Math. Soc.4 (1953), 27–34.
S. A. Amitsur,Prime rings having polynomial identities with arbitrary coefficients, Proc. of the London Math. Soc.17 (1967), 470–486.
N. Jacobson,Structure of rings, Amer. Math. Soc. Colloquium Publications 37 (1964), 2nd edition, chapter 10.
C. Procesi and L. Small,Endomorphism rings of modules over PI-algebras, Math. Zeitschr.106 (1968), 178–180.
S. A. Amitsur,A non-comutative Hilbert basis theorem and subrings of matrices, to appear in Trans. Amer. Math. Soc.
Author information
Authors and Affiliations
Additional information
This paper was written while both authors were doing their Ph. D. these at the Hebrew University of Jerusalem under the supervision of S. A. Amitsur, to whom they wish to express their warm thanks.
Rights and permissions
About this article
Cite this article
Leron, U., Vapne, A. Polynomial identities of related rings. Israel J. Math. 8, 127–137 (1970). https://doi.org/10.1007/BF02771307
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02771307