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http://dx.doi.org/10.7468/jksmeb.2021.28.3.217

CONSTRUCTION OF AN HV-BE-ALGEBRA FROM A BE-ALGEBRA BASED ON "BEGINS LEMMA"  

Naghibi, R. (Department of Mathematics, Yazd University)
Anvariyeh, S.M. (Department of Mathematics, Yazd University)
Mirvakili, S. (Department of Mathematics, Payame Noor University)
Publication Information
The Pure and Applied Mathematics / v.28, no.3, 2021 , pp. 217-234 More about this Journal
Abstract
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.
Keywords
BE-algebra; BE-hyperalgebra; Ends lemma; HV-BE-algebra; BL-BE-algebra;
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Times Cited By KSCI : 2  (Citation Analysis)
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