Geodesic
Noetherian Tensor Products
Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 235-238

Voir la notice de l'article provenant de la source Cambridge University Press

Relatively little is known about the ideal structure of A⊗R A' 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. 
Magarian, E. A.; Motto, J. L. Noetherian Tensor Products. Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 235-238. doi: 10.4153/CMB-1972-043-x
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