substitution and maps between rings

An overview

For additional common operations and a comprehensive list of all routines in Macaulay 2 which return or use ring maps, see RingMap.

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Substitution

• substitute -- substituting values for variables
• working with multiple rings

Ring maps

• basic construction, source and target of a ring map
• evaluation and composition of ring maps
• kernel and image of a ring map
• preimage of an ideal -- missing documentation
• graphIdeal, see graphIdeal(RingMap) -- the ideal of the graph of the regular map corresponding to a ring map
• graphRing, see graphRing(RingMap) -- the coordinate ring of the graph of the regular map corresponding to a ring map