Nouns

(n)assignment, duty assignmenta duty that you are assigned to perform (especially in the armed forces)“hazardous assignment”
(n)assignmentthe instrument by which a claim or right or interest or property is transferred from one person to another
(n)assignment, assigningthe act of distributing something to designated places or persons“the first task is the assignment of an address to each datum”
(n)grant, assignment(law) a transfer of property by deed of conveyance
(n)assignmentan undertaking that you have been assigned to do (as by an instructor)
(n)appointment, assignment, designation, namingthe act of putting a person into a non-elective position“the appointment had to be approved by the whole committee”