A new characterization of discrete valuation rings

R. Naghipour, M. Sedgh

The aim of this paper is to give a new characterization of discrete valuation rings, namely, it is shown that if (D, m) is a local (Noetherian) ring such that depth D > 0 and mk is principal ideal for some integer k ≥ 1, then D is a discrete valuation ring. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 15(4) (2022), pp. 141-144