semisimple

In any of several technical senses, decomposable into sub-objects that have a simple structure.

Containing a collection of simple objects such that all objects in the category are direct sums of these simple objects.

In any of several technical senses, decomposable into sub-objects that have a simple structure.

In which each submodule is a direct summand; equivalently, equal to a direct sum of simple submodules.

In any of several technical senses, decomposable into sub-objects that have a simple structure.

Semisimple as a module over itself; equivalently, such that all (left) modules are semisimple.

In any of several technical senses, decomposable into sub-objects that have a simple structure.

Semisimple as a module over itself; equivalently, such that all (left) modules are semisimple.

Semiprimitive: having trivial Jacobson radical.

In any of several technical senses, decomposable into sub-objects that have a simple structure.

For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.

In any of several technical senses, decomposable into sub-objects that have a simple structure.

Being a direct sum of simple Lie algebras.

In any of several technical senses, decomposable into sub-objects that have a simple structure.

Being a direct sum of simple representations (also known as irreducible representations).

In any of several technical senses, decomposable into sub-objects that have a simple structure.

Being a linear algebraic group whose radical of the identity component is trivial.