The purpose of this paper was to introduce the notion of weakly prime left ideals in near left almost rings by studying, prime and weakly prime left ideals in near left almost rings (nLA-rings). Those are extended from prime and weakly prime ideals, respectively. Some characterizations of prime and weakly prime left ideals are obtained. Moreover, the relationships between prime and weakly prime left ideals in nLA-rings were investigated. Finally, we obtained necessary and sufficient conditions for a weakly prime to be prime left ideals in nLA-rings.
Keywords: nLA-ring, prime, weakly prime, left ideal, ideal.