Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A module that is a direct sum of simple modules.
|
| gptkbp:field |
gptkb:algebra
|
| gptkbp:heldBy |
gptkb:model
|
| https://www.w3.org/2000/01/rdf-schema#label |
semisimple module
|
| gptkbp:introduced |
gptkb:Richard_Brauer
|
| gptkbp:property |
Every module over a semisimple ring is semisimple.
Every quotient module is semisimple. Every submodule is a direct summand. |
| gptkbp:relatedTo |
semisimple ring
simple module |
| gptkbp:bfsParent |
gptkb:Ring_theory
|
| gptkbp:bfsLayer |
7
|