I know this is confusing, we normally refer to the current batches of in-service aircraft as J15, but since there is a J15B emerging, and lack of reference to whether the current in-service jets is J15 or J15A, I have to assume J15A are the ones that are currently in service.
There is a problem in distinguishing whether (a) current in-service jets are all J15A (also normally referred to as just J15), or (b) are there 2 versions, i.e. certain batch is J15 and certain batch is J15A. The option that I chose is (a) as I have not read any writings that stated that there are 2 versions of J15 (i,e. J15 and J15A) in service with Liaoning and Shandong.