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The mathematical operation that maps any two elements a and b of a given algebraic structure (such as a module or vector space) to the coset a ⊗ b + I, where a ⊗ b is the tensor product of the two vectors and I is the two-sided ideal generated by all elements of the form x ⊗ x.

The exterior product of a and b is denoted a ∧ b and has the property that a ∧ b = −(b ∧ a).

1950s; earliest use found in Annals of Mathematics.

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