<Can you have a Kotlin property with an abstract s...

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Can you have a Kotlin property with an abstract setter but an implemented getter?
I'd like to have a property with an abstract setter and an implemented getter. However, I can't make anything along these lines compile:
abstract class MyType {
abstract val complexObject: ComplexObject

abstract var myProperty: String
get() = complexObject.someDerivationLogic
}

Something like this will compile:
abstract class MyType {
abstract val complexObject: ComplexObject

fun getMyProperty(): String {
return complexObject.someDerivationLogic...