Submodule vs Semisimple - What's the difference?
submodule | semisimple |
A module making up part of a larger module.
(algebra) A module contained in a larger module, both over the same ring, such that the ring multiplication in the former is a restriction of that in the latter.
(mathematics, of a module) In which each submodule is a direct summand.
(mathematics, of an algebra or ring)
(mathematics, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
(mathematics, of a Lie algebra) Being a direct sum of simple Lie algebras.
(mathematics, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial.
As a noun submodule
is a module making up part of a larger module.As an adjective semisimple is
in which each submodule is a direct summand.submodule
English
Noun
(en noun)- The first-year English Literature module consists of three submodules .