Polynomial ring of krull dimension 2

Abstract

F.Zanello proved that D in a PID has infinitely many irreducible if and only if every maximal ideal of D[x] has height 2. In this thesis, we review F.Zanello`s result adding precise details. Moreover, we also give some examples. In Section 2, we give some preliminaries notations and known results. In section 3, for precise proofs, we introduce known results with proofs for readers.