“Monadic type” has something like three meanings depending on context, and it’s not clear which one you mean. One of them is common in math, but not so common in programming, so probably not that. But neither “parametric types with a single argument” nor “types that encode a category-theoretic monad” have the property you say, as far as I know.
I imagine you’re probably referring to the latter, since the optional monad exists. That’s very different from returning null. The inhabitants of Integer
in Java, for example, are the boxed machine ints and null
. The inhabitants of Optional[Integer]
(it won’t let me use angle brackets here) are Optional.of(i)
for each machine int i
, Optional.empty()
, and null
.
Optional.empty()
is not null and should not be called a “Null object.” It’s also not of type Integer
, so you’re not even allowed to return it unless the function type explicitly says so. Writing such function types is pretty uncommon to do in java programs but it’s more normal in kotlin. In languages like Haskell, which don’t have null
at all, this is idiomatic.