Results 1 to 10 of about 73,527 (164)
Reconstructing Classical Algebras via Ternary Operations
MathematicsAlthough algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified using ternary operations.
Jorge P. Fatelo, Nelson Martins-Ferreira
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SOME FUNDAMENTAL PROPERTIES OF HEAPS
Barekeng, 2023 Heap is defined to be a non-empty set with ternary operation satisfying associativity, that is for every and satisfying Mal’cev identity, that is for all . There is a connection between heaps and groups.
Dwi Mifta Mahanani, Dewi Ismiarti
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Ternary Menger Algebras: A Generalization of Ternary Semigroups
Mathematics, 2021 Let n be a fixed natural number. Menger algebras of rank n, which was introduced by Menger, K., can be regarded as the suitable generalization of arbitrary semigroups.
Anak Nongmanee, Sorasak Leeratanavalee
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Convolution Algebras: Relational Convolution, Generalised Modalities and Incidence Algebras [PDF]
Logical Methods in Computer Science, 2021 Convolution is a ubiquitous operation in mathematics and computing. The Kripke semantics for substructural and interval logics motivates its study for quantale-valued functions relative to ternary relations. The resulting notion of relational convolution
Brijesh Dongol +2 more
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Journal of Mathematical Analysis and Applications, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert Pluta, Bernard Russo
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Ternary semigroups of topological transformations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 A ternary semigroup is a nonempty set with a ternary operation which is associative. The purpose of the present paper is to give a characterization of open sets of finite-dimensional Euclidean spaces by ternary semigroups of pairs of homeomorphic ...
F.Kh. Muradov
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Advanced Electronic Materials, 2023 In this study, the logic‐in‐memory operations are demonstrated of ternary NAND and NOR logic gates consisting of double‐gated feedback field‐effect transistors.
Jaemin Son +3 more
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IEEE Access, 2022 This paper presents a method for building a programming platform for ternary optical computer(TOC). Firstly, the reasons why the existing programming platform can not be directly applied to the ternary optical computer are analyzed. Then, the theoretical
Shuang Li +3 more
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Ternary Full Adder Designs Employing Unary Operators and Ternary Multiplexers
Micromachines, 2023 The design of the Ternary Full Adders (TFA) employing Carbon Nanotube Field-Effect Transistors (CNFET) has been widely presented in the literature. To obtain the optimal design of these ternary adders, we propose two new different designs, TFA1 with 59 CNFETs and TFA2 with 55 CNFETs, that use unary operator gates with two voltage supplies (Vdd and Vdd ...
Ramzi A. Jaber +3 more
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TERNARY ∗-BANDS ARE GLOBALLY DETERMINED
Ural Mathematical Journal, 2023 A non-empty set \(S\) together with the ternary operation denoted by juxtaposition is said to be ternary semigroup if it satisfies the associativity property \(ab(cde)=a(bcd)e=(abc)de\) for all \(a,b,c,d,e\in S\).
Indrani Dutta, Sukhendu Kar
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