In ring theory, a branch of mathematics, a semisimple algebra is an associative artinian algebra over a field which has trivial Jacobson radical (only the ...

14 окт. 2012 г. · Definition. An associative unital algebra A A over a field k k is semisimple if its Jacobson radical is trivial.

In mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras Throughout the article, unless otherwise stated, a Lie algebra is a ...

Suppose that A is semisimple algebra and let Ai be the collection of simple distinct A-submodules of A. Let M be an A-module (automatically semisimple). There ...

Any finite-dimensional semisimple algebra over the real or complex numbers is a finite and unique direct sum of simple algebras.

In this chapter we study an important class of rings: the class of rings R which are such that any R- module can be expressed as a direct sum of simple ...

It is a semisimple algebra with uncountably many maximal ideals (it consists of holomorphic functions in the unit disc in C, continuous on its boundary, ...

Our goal here is to prove structure theorems for simple and semisimple finite dimensional (associative) algebras over a field. Recall that a ring A is an ( ...

28 мая 2016 г. · Wedderburn's classification of semisimple algebras tells us that any semisimple algebra A is isomorphic to a finite direct product of matrix ... finite dimensional simple algebras are semisimple [closed] semisimple algebra - Mathematics Stack Exchange What is split semisimple algebra over field k Is the one-dimensional Lie algebra L=C semisimple? [duplicate] Другие результаты с сайта math.stackexchange.com

A module M is semisimple (or completely reducible) if it can be written as a direct sum of simple modules. An algebra A is semisimple if every finite ...