Resumen de Regular elements in multiplicative lattices

C. Jayaram

• In this paper we establish several equivalent conditions for every regular element (quasi-regular ideal) of a principally generated C-lattice L (a commutative ring with identity R) to be an invertible element of L (quasi-invertible ideal of R). Using these results, some new characterizations are given for almost Dedekind lattices, almost Dedekind rings, Dedekind lattices and Dedekind rings.