Glavna ideja ovog završnog rada je upoznavanje s algebarskom strukturom prsteni. Upoznali smo najvažnije karakteristike i najbitnije definicije prstena. Nadalje smo analizirali i proste i maksimalne ideale, te operacije nad idealima i spektar prostih ideala. Kako bi svojstva i definicije bile što razumljivije, potkrijepili smo ih primjerima.The main idea of this Final Paper is to introduce the algebraic structure of rings. We have explored the most important characteristics and essential definitions of rings. Furthermore, we analyzed prime and maximal ideals, as well as operations on ideals and the spectrum of prime ideals. To enhance the understanding of properties and definitions, we supported them with examples