soldiering vs soldiership

soldiering and soldiership both are nouns.

Word	Noun	Adjective	Verb	Adverb
soldiering	Yes	No	No	No
soldiership	Yes	No	No	No

As nouns, soldiering and soldiership are synonyms defined as:

soldiering and soldiership: skills that are required for the life of soldier

soldiering (noun)	soldiership (noun)
the evasion of work or duty	skills that are required for the life of soldier
skills that are required for the life of soldier