Under a false name and With one's identity concealed

With one's identity concealed and under a false name are semantically related. In some cases you can use "With one's identity concealed" instead the phrase "Under a false name" as an adjective or an adverb.

Under a false name and with one's identity concealed are semantically related. You can use "Under a false name" instead the phrase "With one's identity concealed" as an adjective or an adverb.