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Summary Of: Algebra over a field
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vector space
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algebra (disambiguation)
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field
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algebraic structure
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vector space
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operation
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multiplication
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vectors
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axioms
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distributivity
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set
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commutative ring
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algebra over a ring
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unital
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associative algebra
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algebra
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complex number
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real numbers
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imaginary unit
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vector
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vector space
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binary operation
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scalars
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distributivity
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bilinear
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associative
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associative algebra
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commutative
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Quaternion
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real numbers
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complex numbers
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non-zero vector
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inverse
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normed division algebras
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quaternions
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non-commutative
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Algebra homomorphism
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homomorphism
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linear map
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isomorphism
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bijective
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Substructure
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linear subspace
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ideal of a ring
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unital
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Extension of scalars
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field extension
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commutativity
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associativity
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matrices
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matrix multiplication
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Group algebras
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group
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polynomials
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functions
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continuous
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interval
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holomorphic functions
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complex plane
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Incidence algebras
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partially ordered sets
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linear operators
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Hilbert space
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composition
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topology
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Banach space
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Banach algebras
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B*-algebras
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C*-algebras
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functional analysis
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Lie algebras
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Jacobi identity
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Euclidean space
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vector cross product
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real numbers
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vector fields
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differentiable manifold
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complex numbers
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algebraic variety
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commutator
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Jordan algebras
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characteristic
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Alternative algebras
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octonions
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Power-associative algebras
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sedenions
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hyperbolic quaternion
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Minkowski space
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special relativity
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Graded algebras
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multilinear algebra
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tensor algebra
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symmetric algebra
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exterior algebra
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vector space
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filtered algebras
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Division algebras
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real numbers
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complex numbers
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quaternions
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octonions
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Cayley–Dickson algebras
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quaternions
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octonions
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alternative algebra
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sedenions
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power-associative algebra
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Poisson algebras
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geometric quantization
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ring
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ring homomorphism
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center
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injective
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unital
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basis
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up to
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isomorphism
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dimension
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scalars
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infinite
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converge
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metric
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covariant
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pullbacks
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contravariant
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pushforwards
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mathematical physics
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Einstein notation
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index notation
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free module
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Clifford algebra
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Differential algebra
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Geometric algebra
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Max-plus algebra
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Category
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Algebras
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This article is licensed under the
GNU Free Documentation License
. It uses material from the
Wikipedia article "Algebra over a field"
.
