Finite extensions of rings

Authors:
Barbara Cortzen and Lance W. Small

Journal:
Proc. Amer. Math. Soc. **103** (1988), 1058-1062

MSC:
Primary 16A38; Secondary 16A21, 16A33, 16A56

DOI:
https://doi.org/10.1090/S0002-9939-1988-0954983-6

MathSciNet review:
954983

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Abstract: The paper concerns some cases of ring extensions , where is finitely generated as a right -module and is right Noetherian. In it is shown that if is a Jacobson ring, then so is , with the converse true in the case. In we show that if is semiprime , must also be left (as well as right) Noetherian and is finitely generated as a left .-module. contains a result on -rings.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1988-0954983-6

Article copyright:
© Copyright 1988
American Mathematical Society