| Abstract: | The imbedding problem with Abelian kernel in the Galois theory of commutative rings is considered. A necessary and sufficient condition for the solvability of the Brauer imbedding problem for commutative rings is found. The group of equivalence classes of imbeddings for given Abelian kernel and the subgroup of semidirect imbeddings are studied.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 57, pp. 31–50, 1976. |
