# DGAlgebraMap -- The class of all DG Algebra maps

## Description

A common way to create a DGAlgebraMap is via liftToDGMap.

## Functions and methods returning an object of class DGAlgebraMap :

• dgAlgebraMap -- Define a DG algebra map between DG algebras.
• liftToDGMap -- Lift a ring homomorphism in degree zero to a DG algebra morphism

## Methods that use an object of class DGAlgebraMap :

• "isWellDefined(DGAlgebraMap)" -- see dgAlgebraMap -- Define a DG algebra map between DG algebras.
• HH DGAlgebraMap -- Computes the homomorphism in homology associated to a DGAlgebraMap.
• net(DGAlgebraMap) -- Outputs the pertinent information about a DGAlgebraMap
• source(DGAlgebraMap) -- Outputs the source of a DGAlgebraMap
• target(DGAlgebraMap) -- Outputs the target of a DGAlgebraMap
• "toComplexMap(DGAlgebraMap)" -- see toComplexMap -- Construct the ChainComplexMap associated to a DGAlgebraMap
• "toComplexMap(DGAlgebraMap,ZZ)" -- see toComplexMap -- Construct the ChainComplexMap associated to a DGAlgebraMap

## For the programmer

The object DGAlgebraMap is a type, with ancestor classes MutableHashTable < HashTable < Thing.