semisimple

形容词 adj.
中文释义

英文释义

形容词 adj.
  1. 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. not-comparable
  2. 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. not-comparable
  3. 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. not-comparable
  4. 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. not-comparable,proscribed
  5. 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. not-comparable
  6. In any of several technical senses, decomposable into sub-objects that have a simple structure.; Being a direct sum of simple Lie algebras. not-comparable
  7. 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). not-comparable
  8. 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. not-comparable

词汇关系

衍生词
cosemisimple nonsemisimple semisimply

词源

From semi- + simple.
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