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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.28 No.3

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Construction of an HV-BE-algebra from a BE-algebra based on “Begins Lemma”

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.3, pp.217-234
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.217
Naghibi, R.
Anvariyeh, S.M.
Mirvakili, S.
Naghibi,, R. , Anvariyeh,, S. , & Mirvakili,, S. (2021). Construction of an HV-BE-algebra from a BE-algebra based on “Begins Lemma”. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(3), 217-234, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.217

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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