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Keywords: hypergroup, Euler's function, commutativity degree, intuitionistic fuzzy grade
Published in RUNG: 05.07.2023; Views: 931; Downloads: 2
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Keywords: hypergroups, Euler's totient function, polygroups
Published in RUNG: 16.03.2023; Views: 1152; Downloads: 0
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Keywords: ion channels and transporters, intrinsically disordered regions, molecular dynamics, function regulation
Published in RUNG: 29.11.2022; Views: 1001; Downloads: 0
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Keywords: slovenska narečja, dvojina, samostalnik, Slovenian dialects, sentential function of the noun, dual forms
Published in RUNG: 17.11.2022; Views: 1130; Downloads: 20
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Abstract: Inspired by the concept of BL-algebra as an important part of the ordered algebra, in this paper we investigate the binary block code generated by an arbitrary BL-algebra and study related properties. For this goal, we initiate the study of the BL-function on a nonempty set P based on BL-algebra L, and by using that, l-functions and l-subsets are introduced for the arbitrary element l of a BL-algebra. In addition, by the mean of the l-functions and l-subsets, an equivalence relation on the BL-algebra L is introduced, and using that, the structure of the code generated by an arbitrary BL-algebra is considered. Some related properties (such as the length and the linearity) of the generated code and examples are provided. Moreover, as the main result, we define a new order on the generated code C based on the BL-algebra L, and show that the structures of the BL-algebra with its order and the correspondence generated code with the defined order are the same.
Keywords: BL-function, BL-code, binary linear block codes, coding theory, BL-algebra
Published in RUNG: 07.03.2022; Views: 1465; Downloads: 42
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