Question

Semisimple artinian ring definition example

Answer 1

semisimple  Artinian if it satisfies the following equivalent conditions: ... The ring is semisimple as a module over itself. The ring is a direct product of finitely many fields.

In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts.

Answer 2

Answer:

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