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Reconstructing Classical Algebras via Ternary Operations
Jorge Fatelo, Nelson Martins-Ferreira
Although algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified through ternary operations. In this contex…
A refinement of ternary Boolean algebras
J. P. Fatelo, N. Martins-Ferreira
An algebraic structure with two constants and one ternary operation, which is not completely commutative, is put forward to accommodate ternary Boolean algebras. When the ternary o…
Affine mobi spaces
J. P. Fatelo, N. Martins-Ferreira
The category of mobi algebras has been introduced as a model to the unit interval of real numbers. The notion of mobi space over a mobi algebra has been proposed as a model for spa…
Mobi algebra as an abstraction to the unit interval and its comparison to rings
J. P. Fatelo, N. Martins-Ferreira
We begin by introducing an algebraic structure with three constants and one ternary operation to which we call mobi algebra. This structure has been designed to capture the most re…