Geodesic
Lifting Ideals in Noncommutative Integral Extensions
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 129-130

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This note is intended as a commentary on a part of the paper [1] by Gulliksen, Ribenboim, and Viswanathan. It takes its inspiration from a colloquium talk by P. Ribenboim.Our aim is a partial generalization of the theorem of Cohen-Seidenberg (cf. [2], IX. 1, Propositions 9 and 10) to noncommutative algebras.Definition. Let A be a ring with 1 in the center of another ring B (with the same 1). B is said to be integral over A, if each element b ∊ B satisfies an integral equation 
Hoechsmann, K. Lifting Ideals in Noncommutative Integral Extensions. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 129-130. doi: 10.4153/CMB-1970-027-5
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[1] 1. Gulliksen, T., Ribenboim, P., Viswanathan, T. M., An elementary note on group rings, (to appear). Google Scholar

[2] 2. Lang, S., Algebra, Addison-Wesley, Reading, Mass. (1965). Google Scholar

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