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In , M. Auslander and O. Goldman introduced the notion of Galois extension of commutative rings. Recently, in , S. U. Chase, D. K. Harrison and A. Rosenberg gave a generalization of the fundamental theorem of Galois theory. In the first section of this note, we shall extend to a case of noncommutative rings the definition of Galois extension which is defined by Chase, Harrison and Rosenberg in the case of commutative rings. Then we shall establish a half of the fundamental theorem ofdoi:10.18910/4803 fatcat:jzcwyxpbijftnp5teuf4psffoq