Abstract
In this paper, we introduce a generalized class of an H-v-semigroup obtained from an LA-semigroup H. This generalized H-v-structure is called an H-v-LA-semigroup. We provide several examples of H-v-LA-semigroups. Moreover, with the help of an example we obtain that each LA-semigroup endowed with an equivalence relation can induce an H-v-LA-semigroup. We also investigate isomorphism theorems with the help of regular relations. At the end, we introduce the concept of hyperideal and hyperorder in H-v-LA-semigroups and prove some useful results on it.