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Noetherian Tensor Products

Published online by Cambridge University Press:  20 November 2018

E. A. Magarian  and
J. L. Motto
E. A. Magarian
Affiliation:
Stetson University, Deland, FloridaFlorida State University, Tallahassee, Florida
J. L. Motto
Affiliation:
Stetson University, Deland, FloridaFlorida State University, Tallahassee, Florida
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Relatively little is known about the ideal structure of A⊗RA' when A and A' are R-algebras. In [4, p. 460], Curtis and Reiner gave conditions that imply certain tensor products are semi-simple with minimum condition. Herstein considered when the tensor product has zero Jacobson radical in [6, p. 43]. Jacobson [7, p. 114] studied tensor products with no two-sided ideals, and Rosenberg and Zelinsky investigated semi-primary tensor products in [9].

All rings considered in this paper are assumed to be commutative with identity. Furthermore, R will always denote a field.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 2 , June 1972 , pp. 235 - 238
Copyright
Copyright © Canadian Mathematical Society 1972

References

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