Noetherian Tensor Products
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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.
1993 ◽
Vol 1993
(442)
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pp. 111-148
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2011 ◽
Vol 2011
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pp. 1-14
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1972 ◽
Vol 169
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pp. 59-59
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