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Bialgebra

💡 Words with a Similar Meaning to "Bialgebra"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
dialgebranoun(mathematics) Alternative form of bialgebra. [(mathematics) A particular form of vector space that is a compatible form of two algebras.]
coalgebranoun(mathematics) a structure that is dual to unital associative algebras
pseudoalgebra
hyperalgebranoun(mathematics) The formal group ring of a formal group law.
algebra over a fieldnoun(algebra) An algebra over a ring such that the ring is in fact a field. As a module over a field, such an algebra is in particular a vector space.
superbialgebra
linear algebranoun(mathematics) The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations.
alternative algebranoun(algebra) An algebra such that every subalgebra generated by two elements is associative.
matrix algebranoun(algebra) Generically, the arithmetic of matrices, involving matrix addition, scalar multiplication of matrices, matrix multiplication, and matrix inversion.
subalgebranoun(algebra) A closed subset of an algebra.
associative algebranoun(algebra) An algebra over a ring (or more narrowly, an algebra over a field) whose bilinear product is associative.
algebranoun(uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
submultialgebranoun(mathematics) A subset of a multialgebra
prealgebranoun(US, education, uncountable) A school (in the US, middle school) course that introduces students to concepts needed to learn algebra.
composition algebranoun(algebra) A non-associative (not necessarily associative) algebra, A, over some field, together with a nondegenerate quadratic form, N, such that N(xy) = N(x)N(y) for all x, y ∈ A.
division algebranoun(algebra) An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.)
vector algebranoun(mathematics) The branch of mathematics that deals with vectors and operations on them.
universal algebranoun(uncountable) A branch of mathematics dealing with equational classes of algebras, where similar theorems from disparate branches of algebra are unified.
albert algebranoun(mathematics) A 27-dimensional exceptional Jordan algebra.
abelian algebranoun(mathematics) Any algebra in which multiplication (or its equivalent) is commutative.

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