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4. Sonea, Andromeda Cristina (R-IASIM); Davvaz, Bijan (IR-YAZD) The Euler's totient function in canonical hypergroups. (English summary) Indian J. Pure Appl. Math. 53 (2022), no. 3, 683-695 : reviewIrina Elena Cristea, 2023, recenzija, prikaz knjige, kritika Ključne besede: hypergroups, Euler's totient function, polygroups Objavljeno v RUNG: 16.03.2023; Ogledov: 1207; Prenosov: 0 Gradivo ima več datotek! Več... |
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10. The Structure of the Block Code Generated by a BL-AlgebraHashem Bordbar, 2022, izvirni znanstveni članek Opis: 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. Ključne besede: BL-function, BL-code, binary linear block codes, coding theory, BL-algebra Objavljeno v RUNG: 07.03.2022; Ogledov: 1489; Prenosov: 43 Celotno besedilo (261,87 KB) |