In our implementation, a map of WittRings is always induced by a map between the underlying rings. WittRingMaps can operate on WittRingElements.
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The object WittRingMap is a type, with ancestor classes MutableHashTable < HashTable < Thing.
The source of this document is in /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/WittVectors/Documentation.m2:112:0.