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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Article
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.
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algebraic structure
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algebra over a field
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mathematics
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International Standard Book Number
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group
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vector space
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subset
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isomorphism
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Nicolas Bourbaki
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identity matrix
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complex plane
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identity element
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theoretical computer science
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module
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subgroup
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diagonal matrix
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matrix multiplication
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model theory
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universal algebra
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lattice
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