Immortality
Immortality is a concept that a living person never dies. Christ is considered to be a (God incarnate) person who is immortal.
Cultural immortality
Some great men of history imagined sorts of immortality beyond just biological immortality. For example, Napoleon commented that while his French empire might, with time, go the way of the Roman Empire, that he would be remembered for his system of laws and national administration AKA the Napoleonic Code.
Great scientists may seek a sort of immortality in their discovery and published papers. Astronomers, especially those who have a celestial object named after them, may be motivated in their work by such notions. The same for authors of properly-published books (in the modern era, those bearing ISBN numbers and such may seek the same.
Parents may seek a sort of immortality via their biological legacy, although this form is less remarkable.