Argac, NGroenewald, NJ2019-10-272019-10-2720051005-38671005-3867https://doi.org/10.1142/S1005386705000118https://hdl.handle.net/11454/37525In this paper, we prove some basic properties of left weakly regular near-rings. We give an affirmative answer to the question whether a left weakly regular near-ring with left unity and satisfying the IFP is also right weakly regular. In the last section, we use among others left 0-prime and left completely prime ideals to characterize strongly regular near-rings.en10.1142/S1005386705000118info:eu-repo/semantics/closedAccessweakly regularstrongly regularcompletely primeWeakly and strongly regular near-ringsArticle121121130WOS:000226093600010N/AQ4