A NOTE ON H-v-LA-SEMIGROUPS

作者：Gulistan Muhammad^*; Yagoob Naveed; Shahzad Muhammad

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2015, 77(3): 93-106.

• H-v-LA-semigroups
• Regular relations
• Isomorphism theorems

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.

• 出版日期2015