Keywords

#invariant_basis_number

Invariant basis number

In the mathematical field of ring theory, a ring R has the invariant basis number (IBN) property if all finitely generated free modules over R have a well-defined rank. In the case of fields, the IBN property is the fact that finite-dimensional vector spaces have a unique dimension.

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Invariant basis number Free module Dimension theorem for vector spaces IBN Module (mathematics) Invariant (mathematics) Dehn invariant Scale invariance Arf invariant Algebraic number field
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