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IEEE Transactions on Computers, 1968
Abstract—This note discusses a particular kind of ternary functional decomposition based on a ternary function ↑ to be performed on the set of composite functions. Such function is closely related to the cycling concept of Postian algebras. A systematic method is given to determine the set of all decompositions of that kind admitted by the function ...
Arango, H., Santos, Jorge, Chacur, A.
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Abstract—This note discusses a particular kind of ternary functional decomposition based on a ternary function ↑ to be performed on the set of composite functions. Such function is closely related to the cycling concept of Postian algebras. A systematic method is given to determine the set of all decompositions of that kind admitted by the function ...
Arango, H., Santos, Jorge, Chacur, A.
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Networks with Ternary Components: Ternary Spectrum
2014In this chapter we consider a monotone binary system with ternary components. “Ternary” or (“trinary”) means that each component can be in one of three states: up, middle (mid) and down. It turns out that for this system exists a combinatorial invariant by means of which it is possible to count the number \(C(r;x)\) of system failure sets with a given ...
Ilya Gertsbakh +2 more
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Ternary Semigroups and Ternary Algebras
2011The ternary algebraic, topological, ordered structures are used in the modern theoretical and mathematical physics and in the theory of functional equations. The subject-matter of this paper focuses on ternary semigroups of mappings and ternary algebras of mappings.
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Ternary quadratic Pompeiu on ternary Banach algebras
Mathematical Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Journal of Algebra and Computation, 2000
A ternary algebra is a bounded distributive lattice with additonal operations e and ~ that satisfies (a+b)~=a~b~, a~~=a, e≤a+a~, e~= e and 0~=1. This article characterizes free ternary algebras by giving necessary and sufficient conditions on a set X of free generators of a ternary algebra L, so that X freely generates L.
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A ternary algebra is a bounded distributive lattice with additonal operations e and ~ that satisfies (a+b)~=a~b~, a~~=a, e≤a+a~, e~= e and 0~=1. This article characterizes free ternary algebras by giving necessary and sufficient conditions on a set X of free generators of a ternary algebra L, so that X freely generates L.
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Ternary adder and subtracter using ternary multiplexer
International Journal of Electronics, 1983This paper describes the use of a ternary multiplexer as a building block in the implementation of ternary adders and subtractors and also in the development of ternary coded adders/subtractors.
Shivashankar, HN, Shivaprasad, AP
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IEEE Transactions on Electronic Computers, 1963
A new logical algebra, ternary threshold logic, is defined and developed. The system is shown to be capable of representing all three-valued functions, and two methods of synthesizing these functions from their truth tables are given. One of the methods produces a normal form that is analogous to the disjunctive normal form of Boolean algebra.
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A new logical algebra, ternary threshold logic, is defined and developed. The system is shown to be capable of representing all three-valued functions, and two methods of synthesizing these functions from their truth tables are given. One of the methods produces a normal form that is analogous to the disjunctive normal form of Boolean algebra.
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Ternary Biderivations and Ternary Bihomorphisms in C∗-Ternary Algebras
2022Jung Rye Lee +2 more
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