## A new characterization of discrete valuation rings## R. Naghipour, M. SedghThe 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 m^{k} 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 |