Applications of Hyperideals in Characterizations of Left Regular LA-semihyperrings (original) (raw)

The main objective of this paper is to investigate the class of left regular LA-semihyperrings with respect to their hyperideals. Then, produce the intresting characterizations of left regular LA-semihyperrings with respect to their hyperideals. In this connection, we prove that right (left, two sided, inerior, bi-, generalized bi-, quasi) hyperideals are coincide in a left regular LA-semihyperrings having pure left identity, these hyperideals are normally not coincide in other classes of regularities of LA-semihyperrings.