subalgebra
Sign in to saveIn mathematics, a subalgebra is a subset of an algebra, closed under all its operations, and carrying the induced operations.
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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.
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