Non-commutative symbolic multiplication in Calc

[Neon Absentius]

Sorry if this is not the right list for this question. 

Is there a way to suspend some of the automatic simplifications that
calc performs? In particular I am interested in suspending the
assumption that multiplication is commutative.  This would allow for 
symbolic calculations with entities that are not necessarily numbers
or elements of some vector space.   

Thanks

-- 
Most precious among the relics remaining of Peter's skeleton in the
Vatican are 29 fragments of one of his skulls. (St. Peter's other
skull is preserved in a reliquary at the Cathedral of St. John
Lateran.)
   -- Frank R. Zindler, "Of Bones and Boners"