According to Hugh Nibley, the name Amaleki simply means "my king." [Hugh W. Nibley, Teachings of the Book of Mormon, Semester 1, p. 428]
Note* Could the Amalekites who are to appear in the book of Alma have been part of the "king-men" movement found in that book also? [Alan C. Miner, Personal Notes]
Omni 1:12 Behold, I am Amaleki, the son of Abinadom (Nephite Record Keepers) [[Illustration]]: Nephite Record Keepers. Adapted from [Church Educational System, Book of Mormon Student Manual: Religion 121 and 122, 1989, p. 155]