On LN rings and topological properties of prime spectra

摘要

In this paper, we first introduce the new class of LN rings, motivated by 2-primal rings and NI rings. We then deal with elementary properties of LN rings, observing relations between this and other known classes of rings. Finally, we study topological conditions, such as connectedness and normality, of several prime spectra that can be naturally associated to a given ring.