Uređeni prsteni

U ovom diplomskom radu proučavali smo uređene prstene. Kroz tri poglavlja smo definirali pojmove grupa, prsten, polje, uređeni skup, uređeni prsten, potpolje, homomorfizam grupa, gusta i Arhimedova grupa, pravi i dobar prerez. Veliki dio rada posvećen je zbrajanju i množenju prereza te pravih i dobrih prereza uz dokazivanje nekih svojstava tih binarnih operacija.In this paper we studied ordered rings. Through three chapters we defined the notions group, ring, field, ordered set, ordered ring, subfield, group homomorphism, dense and Archimedean group, proper and good cut. Big part of this paper is dedicated to adition and multiplication of regular, proper and good cuts with proving some of the properties of those binary operations