# Suspension of a ring

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In algebra, more specifically in algebraic K-theory, the **suspension of a ring R** is given by

^{[1]}where is the ring of all infinite matrices with coefficients in

*R*having only finitely many nonzero elements in each row or column and is its ideal of matrices having only finitely many nonzero elements. It is an analog of suspension in topology.

One then has: .

## References[edit]

**^**Weibel, III, Ex. 1.15