Abstract
One of the classical results of the theory of separable associative algebras over a field is the Wedderburn-Mal'tsev theorem on the decomposition of associative algebras over a field into a sum of a semisimple subalgebra and a radical and on the uniqueness of this decomposition under the condition of separability of the quotient algebra by the radical. In 1951, Azumaya [3] generalized this theorem, proving its analog for associative algebras over a local Hensel ring, which are modules of finite type. Analogs of Azumaya's theorem for alternative algebras and of its first part for Jordan algebras were found by the author in [2, 9, I0].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
