Find the dimension vector of a module  Done 
Construct the direct sum of two representations  Done 
Find the submodule of a module generated by a set of elements  Done 
Find the intersection of two submodules of a module  Done 
Find the sum of two submodules of a module  Done 
Find the radical of a module  Done 
Find the socle of a module  Done 
Find the top of a module  Done 
Find a minimal set of generators a module  Done 
Find the radical series of a module  Done 
Find the socle series of a module  Done 
Find the Loewy length of a module  Done 
Find all indecomposable projective modules over an algebra  Done 
Find all indecomposable injective modules over an algebra  Done 
Find all simple modules over an algebra  Done 
Make the algebra a module over the enveloping algebra  Done 
Make the dual of the algebra a module over the enveloping algebra  Done 
Test if a module is simple.  Done 
Test if a module is semisimple.  Done 
Test if a module is projective.  Done 
Test if a module is injective.  Done 
Test if a module is Omega periodic.  Done 
Test if two modules are isomorphic.  Done 
Find an isomorphism between isomorphic modules  Done 
Test if a module is a direct summand in another.  Done 
Find a common direct summand in two given modules.  Done 
Find the maximal common direct summand in two given modules.  Done 
Test if a module is in the additive closure of another module.  Done 
Test if a module as a finite resolution or coresolution in the additive closure of another module.  Done 
Test if a module is tilting/cotilting module.  Done 
Find the left and right mutation of an almost complete tilting/cotilting module.  Done 
Find the number of complements of an almost complete tilting/cotilting module.  Done

Find all complements of an almost complete tilting/cotilting module given one complement.  Done 
Find the annihilator of a module  Done 
Find the basic version of a module  Done (over finite fields) 
Decomposition of modules  Partially Done (over finite fields) 
Decomposition of modules with multiplicities  Partially Done (over finite fields) 
Block decomposition and blocksplitting idempotents of a module  Done 
Compute an estimate of the complexity of a module  Done 
Find a projective presentation of a module over the corresponding path algebra  Done 
Compute the almost split sequence ending in an indecomposable module  Done 
Compute the predecessor of an indecomposable module in the ARquiver  Done 
Degeneration order for modules of (some) algebras of finite type  Done 