We compute, for a given pair of graded modules M, N and an integer d, the homogeneous components in degree less or equal than d of the graded modules Ext^i(M,N) and Tor^i(M,N). Functoriality is also implemented. Moreover, we construct explicitly the Yoneda extension corresponding to a homogeneous element belonging to a previously computed Ext^1(M,N)_{<=d}.## Graded Ext-modules with a degree limit

## Yoneda extensions

## Graded Tor-modules with a degree limit

- ExtDegreeLimit -- Computes the components in degree <=d of Ext^i(M,N)

- extension -- Construct the Yoneda extension corresponding to an element in Ext^1(M,N)_deg for deg<=d

- TorDegreeLimit -- Computes the components in degree <=d of Tor^i(M,N)

This package requires Macaulay2 Version 1.8 or newer.

- Functions and commands
- ExtDegreeLimit -- Computes the components in degree <=d of Ext^i(M,N)
- extension -- Construct the Yoneda extension corresponding to an element in Ext^1(M,N)_deg for deg<=d
- TorDegreeLimit -- Computes the components in degree <=d of Tor^i(M,N)

- Symbols
- printTimings -- a Boolean value, default value false, whether to print timings of the key steps of the function.