Pereira Fatelo, JorgeMartins-Ferreira, Nelson2025-07-312025-07-312025-04-25Fatelo, J.P.; MartinsFerreira, N. Reconstructing Classical Algebras via Ternary Operations. Mathematics 2025, 13, 1407. https:// doi.org/10.3390/math130914072227-7390http://hdl.handle.net/10400.8/13828Article number - 1407This article belongs to the Section A: Algebra and LogicAlthough algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified using ternary operations. In this context, we introduce structures that contain two constants and a ternary operation. We demonstrate that these structures are isomorphic to various significant algebraic systems, including Boolean algebras, de Morgan algebras, MV-algebras, and (near-)rings of characteristic two. Our work highlights the versatility of ternary operations in describing and connecting diverse algebraic structures.engBoolean algebrasMV-algebrasde Morgan algebrasTernary operationsRings and near-rings of characteristic twojournal article10.3390/math13091407