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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.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Qualifier: most generally
Topics: algebra, category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
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.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Qualifier: module theory
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
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.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Qualifier: ring theory
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
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.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable, proscribed
Qualifier: ring theory
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: Jacobson semisimple
Antonyms: none provided
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.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: algebra, linear-algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
In any of several technical senses, decomposable into sub-objects that have a simple structure.
Being a direct sum of simple Lie algebras.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Qualifier: Lie theory
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
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).
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Qualifier: representation theory
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
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.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: algebra, group-theory, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
