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CONSTRUCTION OF AN HV-BE-ALGEBRA FROM A BE-ALGEBRA BASED ON “BEGINS LEMMA”
( R. Naghibi ),( S. M. Anvariyeh ),( S. Mirvakili ) 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.3
In this paper, first we introduce the new class of HV-BE-algebra as a generalization of a (hyper) BE-algebra and prove some basic results and present several examples. Then, we construct the HV-BE-algebra associated to a BE-algebra (namely BL-BE-algebra) based on “Begins lemma" and investigate it.