subalgebra
Sign in to saveIn mathematics, a subalgebra is a subset of an algebra, closed under all its operations, and carrying the induced operations.
Wikidata facts
- Instance of
- subset
Show 1 more fact
- studied by
- commutative algebra
Sources (2)
via Wikidata · CC0
~4 min read
Encyclopedic overview
5 sectionsContents
- Subalgebras for algebras over a ring or field
- Example
- Subalgebras in universal algebra
- Example
- References
In mathematics, a subalgebra is a subset of an algebra, closed under all its operations, and carrying the induced operations.
"Algebra", when referring to a structure, often means a vector space or module equipped with an additional bilinear operation. Algebras in universal algebra are far more general: they are a common generalisation of all algebraic structures. "Subalgebra" can refer to either case.
Excerpted from Wikipedia’s “subalgebra” article, available under the CC BY-SA 4.0 licence.
Available in 9 languages
via Wikidata sitelinks · CC0