Which is the origin and the reason for the choice of the term "monad" [in the sense of homological algebra](http://en.wikipedia.org/wiki/Monad_%28linear_algebra%29)?


Does this concept have any relation whatsoever to the "monads" from category theory?



Why the term "monad" in homological algebra?
A projective resolution "splits" into monads in the following way. 
Each exact complex of projectives $\dots \to P\_{n+1} \to P\_n \to P\_{n-1} \to \dots $
is a gluing of monads $0\to Z\_{n} \to P\_n \to Z\_{n-1} \to 0$, where $Z\_{k} $
is the kernel of the map $P\_{k} \to P\_{k-1} $. So, a monad is an elementary piece of any projective resolution, like Leibniz's monads are the elementary pieces of more complicated entities (as far as I know). 


